A solid consists of a right circular cylinder of radius and height surmounted by a…

MATHEMATICS · Single correct · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid consists of a right circular cylinder of radius

7\,\text{cm}

and height

15\,\text{cm}

surmounted by a hemisphere of the same radius. The solid is melted and recast into small solid cones each of radius

3.5\,\text{cm}

and height

4\,\text{cm}

. How many such cones are formed? (a)

60

(b)

45

(c)

59

(d)

73