SOLUTION: A cone and a pyramid have equal heights and volume. If the base area of the pyramid is 154cm square. Find the radius of the cone. (Take pie = 22/7)

Question 1163460: A cone and a pyramid have equal heights and volume. If the base area of the pyramid is 154cm square. Find the radius of the cone. (Take pie = 22/7)
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
No pie.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

If the volumes and the heights are both equal, then the areas of the bases are equal.

The area of the base of the cone is ; the area of the base of the pyramid is 154 sq cm. So

ANSWER: The radius of the base of the cone is 7cm.

RELATED QUESTIONS
A cone and right pyramid have equal height and volumes. If the area of the base of... (answered by ikleyn)
A cone and pyramid have equal heights and volumes. If the base area of the pyramid is 154 (answered by solver91311)
a cone and a pyramid have equal volumes and equal heights each side of the square... (answered by Mathematicians)
A pyramid and prism have the same base area and height. The prism's base area is 8 square (answered by Alan3354)
If the volume of a pyramid is 84 cubic yards and the base area is 36 square yards, what... (answered by Alan3354)
A right pyramid has a surface area of 210cm2. A right cone has a base radius of 5cm.... (answered by ewatrrr)
A cone and a pyramid are both 3 inches in height. If the radius of the base of the cone... (answered by greenestamps)
The base of a right pyramid is a square of side 20 cm. The lateral faces of the pyramid... (answered by greenestamps)
A square pyramid has a base area of 81 in2 and a volume of 162 in3. What is the height of (answered by josgarithmetic)