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
2 answers:
Answer:
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
Answer:
19.5
Step-by-step explanation:
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Answer:
14
Step-by-step explanation:
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