The volume of a cone is 48 cm3 and the height of the cone is 10 cm. Find the radius.

6.7cm

Step-by-step explanation:

Given data

Volume= 48cm^3

Height= 10cm

The expression for the volume of cone is

Volume= 1/3πr^h

Substitute

48= 1/3*3.142*r^2*10

48= 10/9.426*r^2

cross multiply

48*9.426= 10r^2

452.448= 10r^2

divide both sides by 10

452.448/10= r^2

45.2448= r^2

square root both sides

r= √45.2448

r= 6.7cm

Hence the radius is 6.7cm

step-by-step explanation:

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