The total surface area of a cylinder is 924 cm2. If its radius of the base is 7 cm, find its height and volume.
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h= 14 cm
volume= 2156 cm^3
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EXPLANATION.
The total surface area of a cylinder = 924 cm².
Its radius of the base = 7 cm.
As we know that,
Formula of :
Total surface area of a cylinder = 2πr(h + r).
Volume of a cylinder = πr²h.
Using this formula in the equation, we get.
⇒ 2πr(h + r) = 924.
⇒ 2 x 22/7 x 7 (h + 7) = 924.
⇒ 2 x 22 x (h + 7) = 924.
⇒ 44 x (h + 7) = 924.
⇒ 44h + 308 = 924.
⇒ 44h = 924 - 308.
⇒ 44h = 616.
⇒ h = 14 cm.
Volume of cylinder = πr²h.
⇒ 22/7 x 7 x 7 x 14.
⇒ 22 x 7 x 14 = 2156 cm³.
Height of cylinder = 14 cm.
Volume of cylinder = 2156 cm³.
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