Question

A toy is in shape of right circular cone mounted on a hemisphere. The radius of the base of of the cone is 3cm and its height is 4cm.find the cirved surface area and volume of the toy.

Answer 1

Answer:

Volume of cone = $1/3\pi r^{2} h$

CSA of cone =$\pi rl$

Volume of Hemisphere=$2/3\pi r^{3}$

CSA of hemisphere= $2\pi r^{2}$

Volume of toy = Volume of cone + Volume of Hemisphere

=$1/3 * 22/7 *3^{2} *4 + 2/3 *22/7*3^{2}$

=37.71+18.857

=56.56

slant height = $\sqrt{r^{2} +h^{2} }$

=> slant height = 5

CSA of toy = CSA of cone + CSA of hemisphere

=$=\pi r l +2\pi r^{2} \\=\pi r(l+2r)$

=103.71

i hope the calculations are correct cause i rushed a bit