Area & Volume, General Mathematics

Question: The radius of a cylinders is the same as that of a sphere. Their volumes are equal. The height of the cylinder is how many times its radius ?
A
`4/3 `

B
`2/3`

C
`1`

D
`2`

Note: `4/3 π R^3` `= πR^2h ⇒ h` `= 4/3 R.`
1. Report
Question: The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is `6` cm, the height of the cone is :
A
`2 cm`

B
`6 cm`

C
`18 cm`

D
`36 cm`

Note: `1/3 π R^2h` `= πR^2 xx 6 or h` `= 18 cm.`
1. Report
Question: A powder tin has a square base with side `8` cm and height `14`cm. Another tin has a circular base with diameter `8` cm and height`14`cm. The difference in their capacities is :
A
`0`

B
`132 cm^3`

C
`192 cm^3`

D
`137.1 cm^3`

Note: Difference in capacities `= (8 xx 8 xx 14 - 22/7 xx 4 xx 4 xx 14) cm^3` `= 192 cm^3`
1. Report

Question: The radius of a cylinders is the same as that of a sphere. Their volumes are equal. The height of the cylinder is how many times its radius ?