Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.

What is the volume?

Roslyn is an engineer She is designing a part for a new engine The length of the part is 16 centimeters cm the width is 6 cm and the height of the cone top is 5 class=

Respuesta :

The volume of the shape shown is 105π cm³

What is volume?

Volume is the amount of space occupied by a three dimensional shape and object.

Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³

Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³

Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³

Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³

The volume of the shape shown is 105π cm³

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