Question

Сл

Volume: Mastery Test
Select the correct answer from each drop-down menu.
A cylinder has a diameter of 10 units.
Its radius is
units. If its height is twice its radius, its height is
Reset
units. Its volume is about
Next
✓cubic units

Answer 1

Volume of cylinder is 785.7 square units.

Explanation:

Given the diameter of cylinder 10 units. The height is twice its radius. we have to find its volume.

Diameter, d=10 units

Answer:

Volume of cylinder is 785.7 square units.

Explanation:

Given the diameter of cylinder 10 units. The height is twice its radius. we have to find its volume.

Diameter, d=10 units

⇒

Radius,

�

=

�

2

=

10

2

=

5

�

�

�

�

�

Radius,r=

2

d

=

2

10

=5units

Also given height is twice its radius.

⇒ Height=2(r)=2(5)=10 units

Volume of cylinder=

�

�

2

ℎ

=

22

7

×

5

2

×

10

=

785.4

�

�

�

�

�

2

Volume of cylinder=πr

2

h=

7

22

×5

2

×10=785.4units

2

hence, volume of cylinder is 785.7 square units.

hence, volume of cylinder is 785.7 square units.

Answer 2

785.4 cubic units

Explanation:

A cylinder has a diameter of 10 units.

`\sf \textsf{Its radius is }=(10)/(2) = 5 units.`

If its height is twice its radius, its height is 2 × 5 = 10 units.

The volume of a cylinder is given by the formula:

`\sf volume = \pi * r^2 * h`

where

• π is equal to 3.141592654,
• r is the radius, and
• h is the height.

By substituting the value we can find the volume of the cylinder:

`\sf volume = 3.141592654* 5^2 * 10 \approx 785.4\textsf{ cubic units}`

So the answer is 785.4 cubic units.