Question

find the volume of a cone whose slant height is 17 cm and radius is of base is 8 cm

Answer 1

I hope IT will help you

Answer 2

Given:

Slant height,

l = 17 cm

Radius,

r = 8 cm

To find:

Volume of a cone = ?

Solution:

According to the question,

The height of the cone will be:

= $\sqrt{l^2-r^2}$

On putting the given values, we get

= $\sqrt{17^2-8^2}$

= $\sqrt{289-64}$

= $\sqrt{225}$

= $15 \ cm$

The volume of a cone will be:

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

On substituting the above values, we get

= $\frac{1}{3}\times \frac{22}{7}\times (8)^2\times 15$

= $\frac{1}{3}\times \frac{22}{7}\times 64\times 15$

= $\frac{22\times 64\times 5}{7}$

= $1005.71 \ cm^2$

Thus, the volume will be "1005.71 cm²".