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Molly wishes to make a lawn ornament in the form of a solid sphere. The clay being used to make the sphere weighs .075 pound per cubic inch is the spheres radius 4 inches what is the weight of the sphere to the nearest pound

Respuesta :

emiliaatkinson
Area of a sphere formula = 4/3 pi x r^3
4/3 pi x 4^3 x 0.075 = 20.106
20.106 rounds to 20 to the nearest pound

Weight of the sphere to the nearest pound is 20.1 pounds

What is Sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

What is weight?

The weight of an object is the force acting on the object due to gravity

Radius of the sphere r = 4 inches

Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Volume of the sphere = [tex]\frac{4}{3}\pi (4^{3})[/tex] = 268.08 cubic inches

Weight of the clay = 0.075 pound per cubic inches

Weight of the sphere =268.08× 0.075 = 20.1 pounds

Hence, the weight of the sphere is 20.1 pounds

Learn more about Sphere, Volume and weight here

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