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Andrej [43]
3 years ago
14

Can someone please explain how to do this​

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The shape consists of a cylinder and a hemisphere.

The volume of a cylinder is:

V = πr²h

where r is the radius (half the diameter) and h is the height.

The volume of a hemisphere is:

V = ⅔ πr³

where r is the radius (half the diameter).

The cylinder and hemisphere both have a diameter of 8 cm, or a radius of 4 cm.  The cylinder has a height of 17 cm.

So the total volume is:

V = π(4 cm)²(17 cm) + ⅔ π(4 cm)³

V = π (272 + 128/3) cm³

V ≈ 988.6 cm³

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