Question

A cylinder is open at both ends and is made of 1.5-cm-thick metal. Its external diameter is 12 cm and height is 84 cm. What is the volume of metal used in making the cylinder? Also, find the weight of the cylinder if 1 cm^3 of the metal weighs 7.5 gram.

Answer 1

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Answer 2

Answer:

31185 grams

Step-by-step explanation:

External diameter = 12 cm

External Radius = $\frac{12}{2}=6 cm$

A cylinder is open at both ends and is made of 1.5-cm-thick metal.

Internal radius  =  6 - 1.5 cm = 4.5 cm

Height of cylinder = 84 cm

Volume of material used = External volume - Internal volume

                                         =$\pi R^2h - \pi r^2 h$

                                         =$\frac{22}{7}(6^2-4.5^2)(84)$

                                         =$4158 cm^3$

1 cubic cm = 7.5 gram

4158 cm = $7.5 \times 4158=31185 g$

Hence the weight of the cylinder is 31185 grams