Answered

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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

Sagot :

Luanaidn
[tex]Volume\ of\ cylinder=\pi\ radius^2 * height\\\\ Volume= \pi\ *10^2*8=800 \pi\\\\ Solution \ is \ B[/tex]

Answer:

Option B is correct

the exact volume of the cylinder is given by:

[tex]800 \pi m^3[/tex]

Step-by-step explanation:

Volume of a cylinder(V) is given by:

[tex]V= \pi r^2h[/tex]         .....[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;

[tex]V = \pi 10^2 \cdot 8 = \pi \cdot 100 \cdot 8 = 800 \pi m^3[/tex]

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

[tex]800 \pi m^3[/tex]

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