Question

A cylinder has a radius of 10 m and a height of 8 m. What is the exact volume of the cylinder?

A.
18π m3

B.
800π m3

C.
80π m3

D.
160π m3
Would it be B.800π m3

Answer 1

`Volume\ of\ cylinder=\pi\ radius^2 * height\\\\ Volume= \pi\ *10^2*8=800 \pi\\\\ Solution \ is \ B`

Answer 2

Option B is correct

the exact volume of the cylinder is given by:

`800 \pi m^3`

Explanation:

Volume of a cylinder(V) is given by:

`V= \pi r^2h` .....[1]

where, r is the radius and h is the height of the cylinder respectively.

As per the statement:

A cylinder has a radius of 10 m and a height of 8 m

⇒ r= 10 m and h = 8 m

substitute these in [1] we have;

`V = \pi 10^2 \cdot 8 = \pi \cdot 100 \cdot 8 = 800 \pi m^3`

Therefore, the exact volume of the cylinder is given by:

`800 \pi m^3`