Question

A solid toy is in the form of a hemisphere surmounted by a right circular cone. the height of the cone is 4 CM and the diameter of the base is 8cm. Determine the volume of the toy. If a cube circumscribes the
toy, then find the difference of the volumes of the cube and the toy. Also find the total surface area of the toy .

answers - V = 1408 / 7cm³
Difference in V = 310.86cm³
T. S. A = 171.68cm³

please solve and do not spam. ​

Answer 1

Answer:

Solution

volume of toy = volume of cone + volume of hemisphere

1

3

×

π

r

2

×

h

+

2

3

×

π

×

r

3

=

1

3

×

π

×

r

2

(

h

+

2

r

)

=

1

3

t

i

m

e

s

π

×

4

2

×

12

=

64

π

=

200.96

c

m

3

if the cube circumscribes the toy ,

then its side = height of toy = diameter of toy = 8cm

volume of cube =

8

3

=

512

c

m

3

difference in volume of cube and toy

= 512 - 200.96

= 311.04

c

m

3