Question

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

the volume of the composite figure? Use 3.14 for Round to the nearest hundredth.
Recall the formulas V-Bh and
V= 4/3 pi*r^2
A. 376.80 cubic millimeters
B. 847.80 cubic millimeters
C. 1.177.50 cubic millimeters
D. 1.308.33 cubic millimeters​

Answer 1

the volume of the composite figure is
`1.308.33 mm^3` . Correct option D)
`1.308.33 mm^3`

Explanation:

Here we have , The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. We need to find What is the volume of the composite figure . Let's find out:

We know that Volume of figure is :

⇒ Volume of cylinder + Volume of hemi-sphere

⇒
`\pi r^2h + (2)/(3) \pi r^3`

⇒
`\pi r^2(h + (2)/(3)r)`

Putting values of h= 10 mm , r = 5 mm( Not given in question ! Searched in correct question )

⇒
`\pi (5)^2(10 + (2)/(3)(5))`

⇒
`25(3.14)(10 + (2)/(3)(5))`

⇒
`1.308.33 mm^3`

Therefore , the volume of the composite figure is
`1.308.33 mm^3` . Correct option D)
`1.308.33 mm^3`