Question

A solid right angular cone of radios 4cm and height 7cm is melted to from a sphere find radius of sphere

Answer 1

Answer:

given radius of cone =4cm

height of cone=7cm

volume of cone=

$1 \div 3\pi \: r { }^{2} h$

volume of sphere=

$4 \div 3\pi \: r ^{3}$

radius of sphere=7/4

Answer 2

Step-by-step explanation:

Volume of cone = Volume of sphere

1/3 πr^2 h = 4/3 πR^3

r^2h = 4R^3

4 x 4 x 7 = 4R^3

28 = R^3

$r = \sqrt[3]{28}$

Radius of sphere is cube root of 28 cm.