The diagram below shows a cone of radius $7$ cm with a hemisphere cut out of it. Given that the sl

Question

The diagram below shows a cone of radius $7$ cm with a hemisphere cut out of it. Given that the slant height of the cone is $14$ cm and the shaded area of the base is $40\pi$ $\text{cm}^2$, find the radius of the hemisphere $OD$, the volume of the object, the surface area of the object.

Accepted Answer

(a) $3$ cm (b) $566$ cm$^3$ (c) $490$ cm$^2$

Mensuration (Pyramid, Cones and Spheres)

Mensuration (Pyramid, Cones and Spheres)