Question

a solid metal cylinder has a base radius of 6cm and a height of 12cm. the cylinder was melted and recast into a solid cone with a circular base radios of 8cm. find the total surface area of the cone. curved surface area = πrl ( l is the slant hight)

Answer 1

54

Explanation:

Volume of the cylinder= base area × Height

volume of the cylinder =
`\pi r^(2)` × Height

volume of the cylinder =
`((22)/(7)`×
`6^(2) )`×12= 1357.71

volume of the cylinder = volume of cone

1357.71=
`\pi rl`

1357.71=
`(22)/(7)`×
`8`×
`l`

1357.71=25.14
`l`

`l=`
`(1357.71)/(25.14)` = 53.9998 ≅ 54