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

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Answer:

[tex]1308.33 {mm}^{3} [/tex]

Step-by-step explanation:

The volume of the composite shape is given by:

Volume of cylinder +volume of two spheres.

The volume of cylinder

[tex] = \pi \: {r}^{2} h[/tex]

We substitute r=5mm and h=10mm

The volume cylinder becomes

[tex] = \pi \: \times {5}^{2} \times 10 \\ = 250\pi[/tex]

[tex] = 250 \times 3.14 \\ = 785 {mm}^{3} [/tex]

The volume of the two hemispheres

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

We substitute the radius to get:

[tex] = \frac{4}{3} \times \pi \times {5}^{3} \\ = 523.33 {mm}^{3} [/tex]

We add the two volumes to get:

[tex] = 785 + 523.33 = 1308.33 {mm}^{3} [/tex]

Answer:

the answer is c

Step-by-step explanation:

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