SOLUTION: The volume of a cone is 108(3.14)cm^3. If the area of the base is 81(3.14)cm^2, what is the height ?
Algebra.Com
Question 750479: The volume of a cone is 108(3.14)cm^3. If the area of the base is 81(3.14)cm^2, what is the height ?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
The volume of a cone is given by
(1) V = B*h/3 where
(2) B = and
(4) V =
Substituting (3) and (4) into (1) yields
(5) or
(6) 108 = 27*h or
(7) h = 4
Answer: The height of the cone is 4cm.
RELATED QUESTIONS
The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm... (answered by mananth,ikleyn)
The volume of a cone with a base area of 12 cm^2 and a height of 9 cm is 72 cm^3. True or (answered by jim_thompson5910)
The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm... (answered by addingup)
1.An Ice Cream cone has a base diameter of 8 cm and a hright of 13 cm. What is its... (answered by Alan3354)
The diameter of an ice cream scoop is 10 cm. The base area of the ice cream cone is... (answered by Alan3354)
if the volume of a cone is 3692.64 cm^3 and the hieght of the cone is 18 cm, what would... (answered by Alan3354)
The diameter of the base of a right cone is 8 cm. If the total surface area of the cone... (answered by Boreal)
What is the volume of a prism with length 9 cm, width 5 cm, and height 4 cm?
81 cm^3
(answered by Boreal)
The area of the base of a right circular cone is 400pi cm^2. If the slant height is 29... (answered by josgarithmetic)