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  • A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm 3 of iron has approximately 8 gm mass. (Use

A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm 3 of iron has approximately 8 gm mass. (Use \pi = 3.14)

 

 

Answers (1)

Given,

Height of cylinder = 220cm = H

Base diameter = 24cm = 2R

Height of small cylinder = 60 cm = h

        Radius = 8cm = r

\begin{align*}\text{Total Volume}& = \pi R^2H + \pi r^2 h \\ & = 3.14\left[(12^2)(220) + (8^2)(60) \right ] cm^3 \\ & =111532.8 \ cm^3\end{align*}

Given 1 cm3 has 8 gm mass

111532.8 cm3 has = ?

            mass = \frac{111532.8\times 8}{1000} \ kg

            mass = 892.262 kg

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Safeer PP

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