Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 432. If the total surface area of a cube is 96 square centimeters, find its volume.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 433. Dimensions of a room is 12 meters length, 8 meters breadth, and 2 meters height. How many persons can sit in this room when a person requires 2.4 cubic meters place to sit?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

.

M # 434. If the length becomes thrice, the height becomes half, and the breadth becomes four times, then the volume of the cuboid will be how many times?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 435. A cistern 6 meter long and 4 meter wide, contains water up to a depth of 1 meter 25 centimeters. Find the total surface area of the wet surface.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 436. Find the maximum length of a pencil that can be kept in a rectangular box of dimensions 8 centimeters x 6 centimeters x 2 centimeters.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 437. The area of the four walls of a room is 660 square meters and its length is twice its breadth. If the height of the room is 11 meters, find the area of its floor in square meters.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 438. The length, breadth, and height of a cuboid are in the ratio 3:4:6 and its volume is 576 cubic centimeters. Find the total surface area of the cuboid.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 439. Three cubes of sides 12 centimeters, 16 centimeters, and 2 centimeters are melted to form a new cube. Find the Surface Area of the cube.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 440. If the edge of a cube is increased by 30%, then the volume increases by how much percent?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

.

M # 441. Find the volume of a right circular cylinder of radius 14 centimeters and height 12 centimeters. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 442. In a right circular cylinder, the ratio of the diameter and the height is 7:4. If the curved surface area is 3168 square centimeters, find the volume of the cylinder. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 443. The outer and and the inner diameters of a circular pipe are 6 centimeters and 4 centimeters respectively. If its length is 10 centimeters, then what is the total surface area in square centimeters? Answer in terms of

.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 444. Two right circular cylinders of equal volume have their heights in the ratio 1:2. Find the ratio of their radii.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,039

ganesh wrote:

Hi,

M # 444. Two right circular cylinders of equal volume have their heights in the ratio 1:2. Find the ratio of their radii.

Hi ganesh,

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

The solution

is correct. Excellent, anonimnystefy!M # 445. Find the volume of a right circular cylinder, whose height is 40 centimeters and circumference of its base is 66 centimeters. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 446. The volume of a right circular cylinder is 198 cubic centimeters, and it's curved surface area is 132 square centimeters, then what is the of the height to the diameter?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 447. The ratio of curved to the total surface area is 5:7. What is the ratio of the height to the radius?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 448. A 20 meter deep well of diameter 7 meters is dug and the earth from digging is evenly spread out to form a cuboidal platform of length 22 meters and breadth 14 meters. Find the height of the platform. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 449. The base radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Find the ratio of their volumes.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

.

M # 450. The curved surface area of a cylindrical pillar is 264 square meters and its volume is 924 cubic meters. Find the ratio of its diameter and its height. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 451. A hollow cylindrical tube, 20 centimeters long, is made of iron and its external and internal diameters are 8 centimeters and 6 centimeters respectively. Find the volume of iron used in making the tube. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 452. A right circular cylinder of height 16 centimeters is covered by a rectangular tin foil of size 16 centimeters in length and 22 centimeters breadth. Find the volume of the cylinder. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 453. The Volume of metal of a cylindrical pipe is 748 cubic centimeters. The length of the pipe is 14 centimeters and its external radius is 9 centimeters. Find its thickness. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 454. The Lateral Surface Area of a Cylinder is 1056 square centimeters and its height is 16 centimeters. Find it's Volume. Use

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 26,410

Hi,

M # 455. If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60%, then its volume is decreased by how much percent?

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline