Question

A cylinder with base radius 8 cm and height 2 is melted to form a cone of height 6 calculate the radius of the base and cone

Answer 1

Answer:

radius = 8cm

height of cylinder = 2cm

let radius of cone be R

height of cone = 6cm

ATQ,

vol. of cylinder = vol. of cone

πr²h = 1/3 πR²H

8×8×2 = 1/3 R² ×6

64×2×3/6 = R²

R= √64

R = 8cm

Answer 2

radius of cylinder =8cm

height =2 cm

height of cone =6 cm

volume of cylinder melted = volume of cone formed

πr^2h=1/3(πr^2h)

π*8*8*2=1/3(π*r^2*6)

(128*3)÷6=r^2

384÷6=r^2

64=r^2

8cm =r