The volume of a right circular cylinder is 29,673 inches3 . Find the diameter of the cylinder if the height is 42 cm. Use 3.14 for π
A. 30 inches
B. 10 inches
C. 5 inches
D. 15 inches
First, convert the height from cm to inches:
42 cm * 0.3937 = 16.535 inches
Then, use the formula for the volume of a cylinder:
V = πr^2h
For a right circular cylinder, the diameter is equal to twice the radius, so:
V = π(d/2)^2h
29,673 = 3.14(d/2)^2*16.535
d^2 = 29,673 / (3.14 * 16.535)
d^2 ≈ 56.955
d ≈ √56.955
d ≈ 7.55 inches
Therefore, the diameter of the cylinder is 7.55 inches which is closest to 10 inches. So, the answer is B. 10 inches.