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 Pi. Round to the nearest hundredth. A cylinder and 2 half spheres. All have a radius of 5 millimeters. The cylinder has a height of 10 millimeters. Recall the formulas V = B h and V = four-thirds pi r cubed 376.80 cubic millimeters 847.80 cubic millimeters 1,177.50 cubic millimeters 1,308.33 cubic millimeters

Answer 1

the answer is c

Explanation:

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Answer 2

`1308.33 {mm}^(3)`

Explanation:

The volume of the composite shape is given by:

Volume of cylinder +volume of two spheres.

The volume of cylinder

`= \pi \: {r}^(2) h`

We substitute r=5mm and h=10mm

The volume cylinder becomes

`= \pi \: * {5}^(2) * 10 \\ = 250\pi`

`= 250 * 3.14 \\ = 785 {mm}^(3)`

The volume of the two hemispheres

`= (4)/(3) \pi {r}^(3)`

We substitute the radius to get:

`= (4)/(3) * \pi * {5}^(3) \\ = 523.33 {mm}^(3)`

We add the two volumes to get:

`= 785 + 523.33 = 1308.33 {mm}^(3)`