Question

A cone has a volume of 488 cubic inches and a diameter of 12 inches. The volume of a cone can be found by using the formula V = 1 third pie R squared H, where r is the radius of the base of the cone and h is the height of the cone. What is the approximate height of the cone?6.5 inches9.6 inches12.9 inches25.8 inches

Answer 1

Answer:201 in squared

Step-by-step explanation:

a right circular cone has

a diameter d=8+in ...........r=4+in

a height of h=12+in

the volume

the vomue 1/3 times pie times r squared times height

the vlolume 1/3 times pie times 4 in squared times 12in

the vlolume 1/3 times pie times 16 in squared times 12 in

the vlolume 192 times pie inches squared over 3

the vlolume 200.96 in squared

whcih should equal 201 inches squared.

Answer 2

Answer:12.9 inches

Step-by-step explanation:

V=1/3$\pi r$²

3V=$\pi r$² h

h=3V/r²$\pi$

h=3(488)/(6)²$\pi$

h=1464/36$\pi$

h=12.9446...