Question

A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.

The volume of the mountain is approximately

nothing cubic kilometers.

​(Round to the nearest whole number as​ needed.)

Answer 1

34.54
`km^(3)`

Explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)π
`r^(2)`h

By putting the value in the formula, we get

= (1/3) π ×
`3^(2)` × 3.7

= 11.1π

= 34.54
`km^(3)`

Hence, the volume of the mountain is 34.54
`km^(3)`.