Question

a toy is in the form of a cone mounted on a hemisphere with the same radio us .if the diameter of the conical portion is 6 cm and its height is 4 cm then find the volume of the toy.​

Answer 1

Answer:

Conical portion

r=3cm,h=4cm

l

2

=r

2

+h

2

=3

2

+4

2

=9+16

l

2

=25

l=

25

=5cm

Spherical portion r=3cm

Surface area of the toy= CSA of hemisphere+ CSA of cone

=2πr

2

+πrl=2×

7

22

×3×3cm

2

+

7

22

×3×5cm

2

=

7

396

cm

2

+

7

330

cm

2

=

7

726

cm

2

=103.71cm

2

Surface area of the toy=103.71cm

2

Volume of the toy= Volume of hemisphere+ Volume of cone

=

3

2

πr

3

+

3

1

πr

2

h=

3

2

×

7

22

×3×3×3cm

3

+

3

1

×

7

22

×3×3×4cm

3

=

7

396

cm

3

+

7

264

cm

3

=

7

660

cm

3

∴ Volume of the toy=94.28cm

3

.

solution

Answer 2

Answer:

its your answer

hope it would be helpful