Question

A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is 3/2 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal
take

$\pi = 3 \frac{1}{7}$

Answer 1

vol of cone = 3/2 vol of hemispheres

Answer 2

$\huge\sf\implies\cancel{3x}=\cancel{6x}$