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A cone has a height of 5 inches and a circumference

of 56.52 inches.
Which measurement is closest to the volume of the
cone in cubic inches? Use 3.14 for π .
A 1695.6
B 1271.7
C 887.36
D 423.9

User Mjarosie
by
8.4k points

2 Answers

4 votes
The volume of a cone is found by saying:
V = 1/3 * pi * r^2 * h

The circumference is equal to
C = 2*pi*r

So the radius of the cone is
r = C/2pi

So the volume of this cone is
V=1/3 * pi * h * (C/2pi)^2 = 1/12 * h * C^2/pi = 423.9
User Matt Waldron
by
8.2k points
6 votes

Answer:

Option D
423.9\ in^(3)

Explanation:

we know that

The volume of a cone is equal to


V=(1)/(3)\pi r^(2)h

Find the radius of the base of the cone

The circumference of a circle is equal to


C=2\pi r

we have


C=56.52\ in

substitute and solve for r


56.52=2(3.14)r


r=56.52/6.28=9\ in

Find the volume of the cone


V=(1)/(3)\pi r^(2)h

we have


r=9\ in


h=5\ in

substitute


V=(1)/(3)(3.14)(9^(2))(5)=423.9\ in^(3)

User KyleWpppd
by
8.5k points
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