Question

Find the volume of a cone with a diameter of 7 inches and a height that is 4 times the radius. Use 3.14 for pi, and round your answer to the nearest hundredth

Answer 1

Answer:

179.50 $in^{3}$

Step-by-step explanation:

The equation for volume of a cone is:

$V=\pi *r^{2} *\frac{h}{3}$

The radius is half of the diameter so r= 3.5 in

The height is 4 times the radius so h=14

$V=3.14*3.5^{2} * \frac{14}{3}$

V= 179.50 $in^{3}$

Answer 2

Answer: 180 inch

Step-by-step explanation:

$V=\frac{1}{3}\pi r^2h$

$\pi = 3.14\\diameter=7inch\\radius=\frac{d}{2}=\frac{7}{2}=3.5inch \\height = 4r=4(3.5)=14inch$

$V=\frac{1}{3} (3.14)(3.5)^2(14)\\V= 179.50\\V=180inch$