A solid consists of a right circular cylinder surmounted by a hemisphere

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid consists of a right circular cylinder surmounted by a hemisphere. The common radius of the hemisphere and the cylinder is 5 cm and the height of the cylindrical part is 20 cm. The solid is made of steel whose density is 7.8 g ⁣ / ⁣ cm37.8\,\text{g}\!\,/\!\,\text{cm}^3. (i) Find the total volume of the solid in cm3\text{cm}^3. (ii) Determine its mass in kilograms, correct to two significant figures. (iii) Calculate the weight of the solid in newtons, taking g=9.8 m ⁣ / ⁣ s2g = 9.8\,\text{m}\!\,/\!\,\text{s}^2.

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