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girdhari

· started a discussion

· 1 Months ago

sol ........... (Question: 293473.0 )


Cumulative area of the two pieces = 25% more than the by square.
Area of 2 pieces = 1.25 × 4π2 = 5πr2
Extra area = πr2
Extra area = area of two new circles that are now created circles.
Area each new circle =

Let radius of new circle be r1.
Now, πr12 =
r1 =


Now, r1, h and r form a right angled triangle.
h2 + r12 = r2
h2 + = r2
h =
Answer choice (A)


Question:

A sphere of radius r is cut by a plane at a distane of h from its centre, thereby breaking this sphere into two different pieces. The cumulative surface area of these two pieces is 25% more than that of the sphere. What is the value of h ?

Options:
A)

r2    

B)

r2    

C)

r3    

D)

r3    

Solution:

Ans: (a)

  

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