A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625π m2, then the height of the tent is____m.
96.8
Let r1 be the radius of the tent.
⇒ π r12 = 625 π
⇒ r12 = 625
⇒ r1 = 25 m
Given that,
π×502=π×r1×l
⇒502=25×l
⇒l=100 m
Slant height is given by
l2=h2+r21
h2=l2−r21
putting l=100,
h = √1002−252
h = 2√9375 = 96.82 m.