Question

An iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of the base of each of cone and cylinder is . The cylindrical part is high and the conical part is high. Find the weight of the pillar if one cubic cm of iron weighs grams.

Medium

Solution

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Let cm and cm denote the radii of the base of the cylinder and cone respectively. Then,
cm

Let and cm be the heights of the cylinder and the cone respectively. Then


volume of Cylinder

volume of Cone

Total volume of the iron = volume of the cylinder + Volume of the cone


total weight of the pillar = volume × Weight per


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