Question

Find the volume of a cylinder whose radius is 7cm and height 10cm.​

Answer 1

Given

• Radius of a cylinder = 7 cm
• Height of a cylinder = 10 cm

Knowledge required :-

• Formula to calculate volume of cylinder :-

⠀⠀⠀⠀Volume of cylinder = πr²h

[Where : Take π = 22/7, r is the radius of the cylinder and h is the height of the cylinder.]

~Understanding the concept ::

Here, we have to find the volume of the cylinder. For that substitute the value of r and h in the formula of volume of cylinder.

Solution

⠀⠀⠀⇒ Volume of cylinder = πr²h

⠀⠀⠀⇒ Volume = 22/7 × 7 × 7 × 10

⠀⠀⠀⇒ Volume = 22 × 7 × 10

⠀⠀⠀⇒ Volume = 1540

★ Volume of the cylinder = 1540 cm³

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Some related formulae :-

• Total surface area of cylinder = 2πrh + 2πr²
• Surface area of sphere = 4πr²
• Volume of cylinder = πr²h
• Volume of cone = 1/3 πr²h
• Curved surface area of cone = πrl
• Total surface area of cone = πrl + πr²h
• Area of circle = πr²
• Circumference = 2πr
• Diameter = 2 × Radius
• Radius = Diameter/2

Answer 2

${\boxed{\underline{\tt{ \orange{Required \: \: answer:-}}}}}$

★GIVEN:-

• Radius of the Cylinder = 7cm

• Height of the Cylinder = 10cm

★TO FIND :-

• Volume of the Cylinder.

★FORMULA USED:-

• ${ \boxed{ \sf{Volume \: = \: \pi \: {r}^{2} h}}}$

★SOLUTION:-

Putting the values:-

$: \implies \sf{ \frac{22}{ \cancel{7}} \times \cancel{7} \times 7 \times 10}$

$: \implies \sf{22 \times 7 \times 10}$

$: \implies{ \boxed{ \underline{ \sf{ \pink{ \huge{1540 {cm}^{2} }}}}}}$

★MORE TO KNOW:-

• Volume of Cuboid = lbh

• Volume of Cube = a^2

• Volume of Sphere = 4/3πr^3

• Volume of Hemisphere = 2/3πr^3

• Volume of Prism = are of base × Height

• Volume of Cone = 1/3πr^2h