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. (5 points)
Select one:
a. 29.31 in3
b. 87.92 in3
c. 117.23 in3
d. 179.50 in3

Answer 1

@sidsiddhartha

Answer 2

use
v=1/3*(pi)*r^2*h

Answer 3

what would the radius be in this one

Answer 4

radius=3.5

Answer 5

v=1/3*(3.14)*(3.5)^2*(?)

Answer 6

i dont know what the height would be

Answer 7

h=4*r=4*3.5

Answer 8

so the height is 4

Answer 9

so what is the answer

Answer 10

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. (5 points)
Given; diameter of the cone d= 7 in
hence radius r = 7/2 = 3.5 in
Since height is 4times the radius
therefore, height h= 4*r = 4*3.5 = 14 in
Volume of cone is given as:
\[\huge V = \frac{1}{3} \pi r^2 h= \frac{1}{3} \times 3.14 \times (3.5)^2 \times 14\]
\[\huge \rightarrow V = \frac{1}{3} \times 3.14 \times 12.25 \times 14\]
\[\huge \rightarrow V = \frac{1}{3} \times 38.465 \times 14\]
\[\huge \rightarrow V = \frac{1}{3} \times 538.51\]
\[\huge \rightarrow V = 179.50333 \approx 179.50 \]
Hence the volume of the given cone is approximately equal to 179.50 cubic inches.
Thus option d. 179.50 in3 is the correct answer.

@prowrestler