Question

the curved surface area of a cylinder is 1210 cm 2 and it's diameter is 20 cm find the it's height and volume

Answer 1

I hope it will be helpful for you

Answer 2

GIVEN:

• CSA of Cylinder = 1210 cm²
• Diameter = 20 cm

TO FIND:

• What is the height and volume of the cylinder ?

SOLUTION:

Let the height of the cylinder be 'h' cm

Radius = Diameter/2 = 20/2 = 10 cm

We know that the formula for finding the CSA of Cylinder is:-

$\large{\boxed{\bf{\star \: CSA = 2 \pi r h \: \star}}}$

According to question:-

$\sf{\longmapsto 1210 = 2 \times \dfrac{22}{7} \times 10 \times h }$

$\sf{\longmapsto 1210 = \dfrac{440}{7} \times h }$

$\sf{\longmapsto \dfrac{1210 \times 7}{440} = h }$

$\sf{\longmapsto 2.75 \times 7 = h }$

$\bf{\longmapsto 19.25 \: cm = h }$

• Height = 19.25 cm

Now, we have to find the volume of the cylinder:-

$\large{\boxed{\bf{\star \: VOLUME = \pi r^2 h \: \star}}}$

According to question:-

$\sf{\longmapsto VOLUME = \dfrac{22}{7} \times (10)^2 \times 19.25}$

$\sf{\longmapsto VOLUME = \dfrac{423.5}{7} \times 100 }$

$\sf{\longmapsto VOLUME = \dfrac{42350}{7} }$

$\bf{\longmapsto VOLUME = 6050 \: cm^3}$

• VOLUME = 6050 cm³

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