The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nea…

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asked May 1, 2022 187k views

2 Answers

Ajeet Singh · Answer 1 · 2022-05-06T13:52:45+0000

Given:

Radius of half sphere and cone = 6 cm

Height of cone = 12 cm

To find:

The volume of composite figure that is made up of a cone and a half sphere.

Solution:

Volume of half sphere is:

$V_1=(2)/(3)\pi r^3$

Where r is the radius of the half sphere.

Putting
$\pi =3.14, r=6$ , we get

V_1=(2)/(3)(3.14)(6)^3

V_1=(6.28)/(3)(216)

V_1=452.16

Volume of a cone is:

$V_2=\pi r^2h$

Where r is the radius and h is the height of the cone.

Putting
$\pi =3.14, r=6, h=12$ , we get

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

Volume of the composite figure is:

V=V_1+V_2

V=452.16+1356.48

V=1808.64

Therefore, the volume of a composite figure is 1808.64 cubic centimetres.

Note: All options are incorrect.