Question

a solid toy is in the form of a hemisphere surmounted by a right circular cone of the height of the cone is 4cm and diameter of the base is 6 cm calculate the volume of the toy,surface area of the toy​

Answer 1

Answer:

Volume of toy = Vol. of cone + Vol.of hemisphere

=

3

1

πr

2

H+

3

2

πr

3

=

3

1

πr

2

[H+2r]h

=

3

1

×

7

22

×2×2[2+2×2]

=

3

1

×

7

22

×4×6

2

=25.12cm

3

Volume of cylinder =πr

2

h=

7

22

×2×2[2+2]=

7

22

×16=50.24cm

3

Difference in volume =50.24−25.12=25.12cm

3

Hence, cylinder cover 25.12cm

3

more space.