Answered

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

Verified Answer :

luana

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

Answer:

Option B is correct

the exact volume of the cylinder is given by:

\(800 \pi m^3\)

Step-by-step 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:

\(800 \pi m^3\)