Question

94. A sphere is placed in an inverted hollow conical vessel of base radius 5 cm and vertical
height 12 cm. If the highest point of the sphere is at the level of the base of the cone,
find the radius of the sphere. Show that the volume of the sphere and the conical vessel
are as 40 : 81.​

Answer 1

Answer:

Step-by-step explanation:

let radius of sphere is 100 unit

now volume of sphere =4/3pi.(r)^3

volume of sphere=4/3pi.(100)^3

=4/3pi.1000000 cubic unit

a/c radius increased by 10%

so , new radius =100+100x10/100=110unit

hence volume of new sphere=4/3pi(110)^3=4/3pi.1331000cubic unit

difference their volume=4/3pi.331000cubic unit

percentage increase=volume difference/volume of sphere

=(4/3pi.331000/4/3pi.1000000)x100

=33.1%

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