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Mathematics

Grade-8

Easy

Question

A cylinder has a volume of 502.6cm³ and has a radius of 4cm. Find the height of the cylinder.

10cm³
10cm
5cm²
5cm

hint Hint:

The formula of the volume of the cylinder is $pi r squared h$ .

The correct answer is: 10cm

Step1: Know that the formula of the volume of the cylinder is $V equals pi r squared h$ , where r is the radius of the cylinder and h is the height of the cylinder.
Step2: Here we are given the radius and volume of the cylinder and we need to find the height of the cylinder which can found by using the above formula.
Step3: We are given $r equals 4 c m$ and $V equals 502.6 c m cubed$ and we can find height by putting the values of V and r in the formula of the Volume of the cylinder.
$V equals pi r squared h$
$502.6 equals pi cross times 4 squared cross times h$
=> $h equals 10$ .
So, the height of the cylinder is $10 c m$ .

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