(ii) The ratio between the curved surface area and the total surface area of a right ci
cylinder is 1:2. Prove that its height and radius are equal.
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Answer:
1078 cu cm.
Step-by-step explanation:
Given that:Curved surface area : Total surface area =1:2
Curved surface area :616=1:2
Curved surface area=2616=308
⇒2πr(h+r)2πrh=21
⇒h+rh=21
⇒2h=h+r
⇒h=r
Curved Surface area=2πrh=2πr2=308 since h=r
⇒2×722r2=308
⇒r2=44308×7=49
⇒r=7cm
Since r=h
h=7cm
Volume of the cylinder=πr2h=722×7×7×7=1078cm3
∴ Volume of the cylinder is 1078 cu cm.
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