Question #205306

The ball of a float has a diameter of 4-in, and the thickness of the metal is 0.05 in. How much does it weigh if it is made of copper? (Copper weighs 556 lb. per cu. ft.)

Expert's answer

Volume of the entire ball"= \\frac{4}{3} \\pi ^3"

Volume "=\\frac{4}3*\\frac{22}7*2^3"

Volume "=33.524 in^3"

The volume of the hollow area of the ball "=\\frac{4}3 \\pi^3"

V"=\\frac{4}3*\\frac{22}7*[2-0.05]^3"

"V=31.0719 in^3"

Volume of copper "=33.524-31.072"

"V of \\space copper =2.452in^3"

Density of Cu"=0.324 lb\/in^3"

Mass of Cu"=Density \\space of \\space Cu*Volume \\space of \\space Cu"

Mass of Cu"=0.324*2.452"

Mass of Cu"=0.794 lb"

Weight of copper "=0.794 *2.204*10"

Weight of copper"=17.510kg"

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