Question

Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π = 22/7)

A) 1540 cubic cm B) 3080 cubic cm C) 770 cubic cm D) 2310 cubic cm

Answer 1

Given

• Curved surface area of cylinder = 440cm²
• Circumference of its base = 44cm

Find out

• Volume of cylinder

Solution

As we know that

★ Circumference of circle = 44 cm

➡ 2πr = 44

➡ πr = 44/2

➡ 22r/7 = 22

➡ r = 7 × 22/22

➡ r = 7 cm

• Hence, radius of cylinder is 7cm

_____________________

★ C.S.A of cylinder = 440cm²

➡ 2πrh = 44

➡ Circumference of circle × height = 440

➡ 44 × h = 440 {Given}

➡ h = 440/44

➡ h = 10 cm

_____________________

★ Volume of cylinder

➡ πr²h

➡ 22/7 × (7)² × 10

➡ 22/7 × 49 × 10

➡ 22 × 7 × 10

➡ 1540 cm³

_____________________

Additional Information

• Volume of cone = ⅓ πr²h
• Volume of cuboid = length × breadth × height
• Volume of cube = a³
• Volume of sphere = 4/3 πr³

Answer 2

$\huge \underline \mathsf \red {Solution:-}$

$\bf{\underline{\underline \blue{AnswEr:}}}$

• The volume of the cylinder = 1540 cm³

$\bf{\underline{\underline \blue{Given:}}}$

• Curved surface area of a cylinder is 440 sq cm. Circumference of its base is 44 cm.

$\bf{\underline{\underline \blue{Need \: To \: Find:}}}$

• The volume of the cylinder = ?

$\huge \underline \mathsf \red {Explanation:-}$

Circumference of its base is 44 cm. [Given]

$\bf{\underline{\underline \green{So:}}}$

• 2πr = 44

➠ Radius = 44 × ½ × (7/22)

➠ Radius = 7 Cm

$\bf{\underline{\underline \green{Therefore:}}}$

• The radius of the cylinder = 7 cm.

$\bf{\underline{\underline \pink{Formula\:used\:here:-}}}$

$\bigstar \: \boxed{ \sf \: Curved \:surface\: area\: of \:cylinder = 2\pi rh }$

Curved surface area of a cylinder is 440 sq cm. [Given]

$\bf{\underline{\underline \green{So:}}}$

• 2πrh = 440

➠ 2 × (22/7) × 7 × h = 440

➠ Height = 440/44

➠ Height = 10 Cm

$\bf{\underline{\underline \green{ThereFore:}}}$

• The height of the cylinder = 10 Cm.

$\bf{\underline{\underline \green{So:}}}$

The volume of the cylinder = π × 72 × 10 The volume of the cylinder = 1540 cm³

$\bf{\underline{\underline \green{Hence:}}}$

• The volume of the cylinder = 1540 cm³.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$