The sum of radii of the two circles is 91 cm and the difference between their areas is 2002 cm2. What is the radius (in cm) of the larger circle?
1). 56
2). 42
3). 63
4). 49
Let the radii be a and b respectively
⇒ a + b = 91 ---- (1)
⇒ Difference in area = (22/7) × (a2 – b2) = 2002
⇒ a2 – b2 = 91 × 7 ---- (2)
Dividing equation 2 by equation 1 and using [a2 – b2 = (a + b) (a – b)], we get
⇒ a – b = 7 ---- (3)
By Adding equation 1 and 3, we get
⇒ 2a = 98
⇒ a = 49 cm
⇒ b = 42 cm
∴ Radii of larger circle is 49 cm1. If the area of the base of a cone is increased by 100%, then the volume increases by
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