Question

A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of

same radius. The total height of the toy is 15.5 cm. Find the volume of the toy.​

Answer 1

Answer:

rad.of cone =rad.of hemisphere=3.5 cm (given)

Also,

ht of toy=15.5 cm (given)

ht of hemisphere=3.5 cm

ht of cone=15.5-3.5

=12cm

slant ht. of cone=under root h^2+r^2

=under root (12^2+3.5^2)

=under root 144+12.25

=under root 156.25

= 12.5 cm

CSA oc hemisphere=2×22/7×(3.5)^2

=77 cm^2

CSA of cone=22/7×3.5×12.5

=137.5 cm^2

TSA of toy=CSA of hemisphere+CSA of cone

=77+137.5

=214.5cm^2