What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches and volume 52 inches cubed. 14.7 inches squared 17.3 inches squared 18.5 inches squared 19.5 inches squared

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume = 52 in³

r = radius

h = height = 8 in

π = 3.14

v = 1/3 * π * r² * h

we solve r

3 * v / h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

6.21 in² = r²

√6.21 in² = r

2.49 in = r

now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 2.49 in

π = 3.14

a = π * r²

we replace the known values

a = 3.14 * (2.49 in) ²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²