Question

4. If the volume of a right circular cone of height 9 cm is 48 cm, find the diameter of its
base.

Answer 1

Answer:

432.....…..............…..

Answer 2

Answer:

D = 8 cm

Step-by-step explanation:

I believe your Question is,

"If the volume of a right circular cone of height 9 cm is 48π cm³, find the diameter of its base."

We are given,

h = 9 cm

V = 48π cm³

Now, we know that,

Volume of a right circular cone = (1/3)πr²h

V = (1/3) × π × r² × 9

48π = (1/3) × 9 × π × r²

48π = 3πr²

r² = 48π/3π

Cancelling π and dividing by 3

r² = 16

r = √16

r = 4 cm

Now,

Diameter = 2 × Radius

D = 2 × 4

D = 8 cm

Hence,

D = 8 cm

Hope it helped and believing you understood it........All the best