the height of a cone is 5m. Find the height of another cone whose volume is 16 times its volume and radius equal to its diameter

Let the radius of base of given cone = r1Now, diameter of base of given cone = 2r1Height of given cone = h1 = 5 mNow, volume of given cone = πr12h1 = 5πr12Now, let h2 be the height of new cone.radius of base of new cone =r2 =  diameter of base of given cone = 2r1Now, volume of new cone = πr22h2  = π2r12h2 = 4πr12h2Now, volume of new cone = 16 volume of given cone4πr12h2 = 16× 5πr124h2 = 80h2 = 20 cmSo, height of new cone = 20 cm

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MERITNATION KE PASS AAO .
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volume of cone = 1/3 * pi * r^2 * h
according to question
16(1/3 * pi * r^2 * h) = 1/3 * pi * (2r)^2 * h
16(1/3 * 22/7 * r^2 * 5) = 1/3 * 22/7 * 4r^2 * h
16[(110r^2)/21] = (88r^2)/21 * h
16 * 110r^2 = 88r^2 * h
16/h = 88r^2/110r^2
h= 20 m

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