Question

Find the volume of this composite object!
(use 3 for pi)

Answer 1

Answer: 135 cm³

Explanation:

You have 2 shapes. Find volume for both and add them

V(cone) =
`(\pi r^(2) h)/(3)` r=3 h=3
`\pi`=3

=
`(3(3^(2))3 )/(3)`

=27

V(sphere)=
`(4)/(3 )\pi r^(3)` r=3
`\pi`=3

=
`(4)/(3 )(3) 3^(3)`

=108

Add the 2 volumes

V=27+108 = 135 cm³

Answer 2

Answer: 225 cm^3

Step-by-step explanation: To find the volume of the composite object, we need to find the sum of the volumes of the cylinder and the cone.

Volume of cylinder = pi * r^2 * h = 3 * 3^2 * 7 = 189 cubic units

Volume of cone = 1/3 * pi * r^2 * h = 1/3 * 3 * 3^2 * 4 = 36 cubic units

Total volume of composite object = volume of cylinder + volume of cone = 189 + 36 = 225 cubic units.

Therefore, the volume of the composite object is 225 cm^3.