A hollow conical container has a curved surface area of and holds of water when…

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

Problem

A hollow conical container has a curved surface area of

65\pi\,\text{cm}^2

and holds

100\pi\,\text{cm}^3

of water when completely filled. Find the slant height of the cone. (a)

15\,\text{cm}

(b)

13\,\text{cm}

(c)

10\,\text{cm}

(d)

12\,\text{cm}