Question

What is the volume of this right cone?

Answer 1

Question:

What is the volume of this right cone?

40π cm³

300π cm³  

400π cm³  

480π cm³

The image of the cone is attached below:

Answer:

Option c: 400π cm³  

Explanation:

It is given that a right cone with radius = 10 cm , height = 12 cm and lateral height 15.6 cm

To determine the volume of the right cone, let us substitute these values in the formula,

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

Thus, we get,

$V=\frac{1}{3} \pi (10)^{2}(12)$

Multiplying the terms,

$V=\frac{1}{3} \pi (1200)$

Dividing by 3, we get,

$V=400 \pi$

Thus, the volume of the cone is 400π cm³  

Hence, Option c is the correct answer.