Question

A) calculate the radius of the original large cone.

b) Calculate the volume of the frustum to the nearest integer.

Answer 1

The radius of the original large cone is 15 meters

The calculated volume of the frustrum is 11687 cubic meters

Calculating the radius of the original large cone.

From the question, we have the following parameters that can be used in our computation:

The frustrum

Using the proportional ratio, we have the following equation

R/3 = 50/10

This gives

R = 3 * 50/10

Evaluate

R = 15

So, the radius is 15

Calculating the volume of the frustrum

This is calculated as

Volume = Big cone - Small cone

So, we have

`\text{Volume} = (1)/(3)\pi * 15^2 * 50 - (1)/(3)\pi * 3^2 * 10`

Evaluate

`\text{Volume} = (1)/(3)\pi * 11160`

Lastly, we have

Volume = 11687

Hence, the volume is 11687 cubic meters