Question

The volume of a right circular cone is 924 cm. If its height is 18 cm, then
the area of its base (in cm) is:
O 154
198
O 176
O 132​

Answer 1

Answer:

$54 {cm}^{2}$

Step-by-step explanation:

Given that the height of the right circular cone

h = 18 cm

and V = 924 cm^3

$=> \frac{1}{3} \pi {r}^{2} h = 324 {cm}^{3} \\ => \frac{1}{3} \times 18\pi {r}^{2} = 324 \\ => 6\pi {r }^{2} = 324 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \pi {r}^{2} = \frac{324}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ => \pi {r}^{2} = 54 {cm}^{2} \: \: \: \: \: \: \: \: \: \: \:$

Therefore Base Area of right circular cone is

$54 {cm}^{2}$