Question

A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km.

Which estimate best approximates the volume of the volcano?

Use 3.14 for pi and round to nearest whole number.

Show work too please!!

Answer 1

We are given

shape of volcano is conical

diameter=16km

so, radius=r=8km

height=h=1.95km

now, we can use volume formula

$V=\frac{1}{3} \pi r^2 h$

now, we can plug values

and we get

$V=\frac{1}{3} \pi (8)^2 (1.95)$

we can simplify it

and we get

$V=130.69025km^3$

so, approximate volume of volcano is 131 km^3.............Answer