Question

The height of a right cone is 12 cm and its slant height is 15 cm. Find the following for the cone (a) area of the base​

Answer 1

Answer:254.47 $cm^{2}$

Step-by-step explanation:

In a right cone,

Vertical height (h) = 12 cm

Slant height (l) = 15 cm

We have,

l^2 = h^2 + r^2

⇒ r = $\sqrt{l^2 -h^2$ = $\sqrt{15^2 - 12^2$ = 9 cm

Since the base of a cone is a circle, so the area of the base = area of the circle

i.e. Area of the base = π$r^{2}$ = π×$9^{2}$ = 254.47 $cm^{2}$