Question

The circumference of the base of a cylinder is 8.8cm and height is 60cm,
Find the volume and its curved surface area.​

Answer 1

Solution

Given :-

• The circumference of the base of a cylinder is 8.8cm
• Height be = 60 cm

Find :-

• Volume of curved surface area of cylinder

Explanation

Formula

$\dag\boxed{\underline{\tt{\red{\: Circumference_{base\:of\:cylinder}\:=\:2\pi\:r}}}}$

$\dag\boxed{\underline{\tt{\orange{\:Volume_ {cylinder}\:=\:2\pi\:r^2}}}}$

$\dag\boxed{\underline{\tt{\green{\:Curved\: Surface\:Area_{Cylinder}\:=\:2\pi\:rh}}}}$

Where,

• r = radius of base
• π = 22/7

So, Now

==> Circumference of cylinder = 8.8

==> 2πr = 8.8

==> 2 × 22/7 × r = 8.8

==> r = 8.8 × 7/(2×22)

==> r = 0.2 × 7

==> r = 1.4 cm

Now, Calculate Volume of cylinder

==> Volume of cylinder = πr²h

==> Volume of cylinder =22/7 × (1.4)² × 60

==> Volume of cylinder = 22 × 0.2 × 1.4 × 60

==> Volume of cylinder = 22 × 12 × 1.4

==> Volume of cylinder = 369.6 cm³

Now, Calculate curved surface area

==> Curved surface area = 2πrh

==> Curved surface area =2 × 22/7 × 1.4 × 60

==> Curved surface area = 44 × 0.2 × 60

==> Curved surface area = 44 × 12

==> Curved surface area = 528 cm²

Hence

• Radius of base cylinder =1.4 cm
• Volume of cylinder = 369.6 cm³
• curved surface area = 528 cm²

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