A cone-shaped paper cup has a volume of $142$ cubic centimetres and a height of $8.5$ centimetres. What is the radius, to the nearest centimetre, of the paper cup?

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Solution

The correct option is B $4$
Volume of a cone is given by $\frac{π r^{2} h}{3}$ .
Hence, $\frac{π r^{2} h}{3} = 142$
$\Rightarrow π r^{2} h = 426$
$\Rightarrow π r^{2} (8.5) = 426$
$\Rightarrow π r^{2} = 50$ (approx)
$\Rightarrow r^{2} = 15.96$ (approx)
$\Rightarrow r = 4$ (approx)

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A cone-shaped paper cup has a volume of 142 cubic centimetres and a height of 8.5 centimetres. What is the radius, to the nearest centimetre, of the paper cup?

The correct option is B 4Volume of a cone is given by πr2h3.Hence, πr2h3=142 ⇒πr2h=426 ⇒πr2(8.5)=426 ⇒πr2=50 (approx)⇒r2=15.96 (approx)⇒r=4 (approx)

A cone-shaped paper cup has a volume of $142$ cubic centimetres and a height of $8.5$ centimetres. What is the radius, to the nearest centimetre, of the paper cup?

The correct option is B $4$
Volume of a cone is given by $\frac{π r^{2} h}{3}$ .
Hence, $\frac{π r^{2} h}{3} = 142$
$\Rightarrow π r^{2} h = 426$
$\Rightarrow π r^{2} (8.5) = 426$
$\Rightarrow π r^{2} = 50$ (approx)
$\Rightarrow r^{2} = 15.96$ (approx)
$\Rightarrow r = 4$ (approx)