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larisa86 [58]
3 years ago
11

A package of modeling clay was shaped like a cone with a radius of 24 cm and a height of 6 cm. Miriam used all the clay to make

a cylinder with a radius of 16 cm. Determine the height of the cylinder. Use 3.14 to approximate pi, and express your final answer in tenths.
Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm

We need to find the volume of each shape.

Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28

Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84 
4.5 = h

The height of the cylinder is 4.5cm
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