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Mathematics

Volume of a cylinder of height 3 cm is 48π cm3. Radius of the cylinder is :

  1. 48 cm

  2. 16 cm

  3. 4 cm

  4. 24 cm

Mensuration

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Answer

Given, height of cylinder, h = 3 cm

Radius of cylinder be r cm

Volume of cylinder = 48π cm3

By formula,

Volume of cylinder = πr2h

⇒ πr2h = 48π

⇒ r2 × 3 = 48

r2=483r2=16r=16r=4 cm.\Rightarrow \text{r}^2 = \dfrac{48}{3} \\[1em] \Rightarrow \text{r}^2 = 16 \\[1em] \Rightarrow \text{r} = \sqrt{16} \\[1em] \Rightarrow \text{r} = 4 \text{ cm.}

Hence, option 3 is the correct option.

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