The volume of a solid cylinder is 1584cm3
and its height is 14cm. Find its radius and
total surface area.
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Step-by-step explanation:
The volume of a solid cylinder = 1584cm^3
Height = 14cm
The volume of a solid cylinder = πr^2h
1584cm^3 = 22/7 x r^2 x 14cm
(1584cm^3 x 7)/(22 x 14cm) = r^2
36cm^2 = r^2
√36cm^2 = √r^2
√6cm x 6cm = √r x r
6cm = r
Total surface area of a cylinder = 2πr(r + h)
= 2 x 22/7 x 6cm(6cm + 14cm)
= 22/7 x 12cm x 20cm
= 3.14 x 240cm^2
= 754.285cm^2
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