SOLUTION: A cone sits on top of a cylinder. Both have a radius of 3. The heights of the cylinder and cone are 8 and 4 respectively. Determine the exact volume of the combined solid.

Algebra.Com
Question 257435: A cone sits on top of a cylinder. Both have a radius of 3. The heights of the
cylinder and cone are 8 and 4 respectively. Determine the exact volume of the
combined solid.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Lets first find the volume of the cylinder.
We have



--
Now the volume of the cone
We have




--
adding these we get

RELATED QUESTIONS

A cone sits on top of a cylinder. Bhioth have a radius of 3 cm. The heights of the... (answered by josgarithmetic)
A cylinder and a cone have base radii 5 cm and 3 cm respectively and their respective... (answered by sarcasticpie,MathTherapy)
A cone and a cylinder have the same radius and the same volume. Find the ratio of the... (answered by Fombitz)
A cylinder and a right cone have the same height and radius. The volume of the cylinder... (answered by Alan3354)
A cylinder has a volume 200 cubic in. Cone radius and height are equal to that of the... (answered by MathLover1)
A cylinder and a cone have the same volume. If the radius of both is 5 centimeters and... (answered by Alan3354)
A cone and a cylinder both have height 7 and radius 3. Find the ratio of their volumes... (answered by mananth,ikleyn)
The altitude of a right circular cone is 15 and the radius of its base is 8. A... (answered by josgarithmetic)
A cylinder is drawn in a cone of height, H, and base, R. If the height and radius of the... (answered by josgarithmetic)