Question

the volume of the cylinder whose height is 84 cm and the diameter of the base is 5 cm is ​

Answer 1

• Given

• Height of cylinder = 84 cm
• Diameter of cylinder = 5 cm

• To find

• Volume of cylinder

• Concept

• Firstly, we will find the Radius of the cylinder. By using this formula ⟶ Diameter/2.
• Then by substituting the values in the formula of volume of cylinder. We will get its value.

• Solution

• Radius = Diameter/2

⟶ 5/2

⟶ 2.5 cm

• Radius of the cylinder = 2.5 cm

• Volume of cylinder = πr²h

⟶ 22/7 × 2.5 × 2.5 × 84

⟶ 1,650 cm³

• Volume of cylinder = 1650 cm³

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Some related formulae -

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

Answer 2

Answer:

$\huge \sf{ \underline{ \underline{➩ Given }}}$

Height of cylinder = 84 cm

Diameter of cylinder = 5 cm

$\huge \sf{ \underline{ \underline{➩To \: find }}}$

• Volume of cylinder

$\huge \sf{ \underline{ \underline{➩Solution }}}$

$\implies \bf \: Radius = \frac{Diameter}{2}$

$\implies \: \bf \frac{5}{2}$

$\bf \: \implies \: 2.5 cm$

Radius of the cylinder = 2.5 cm

• Volume of cylinder = πr²h

$\bf \implies \frac{22}{7} × 2.5 × 2.5 × 84$

=》1,650 cm³

Volume of cylinder = 1650 cm³

━━━━━━━━━━━━━━━━━━

Some related formulae -

• Area of circle = πr²
• Diameter = Radius × 2
• $\bf \: Radius = \frac{Diameter}{2}$
• Total surface area of cylinder = 2πrh + 2πr²
• Total surface area of cone = πrl + πr²h
• Curved surface area of cone = πrl
• Volume of cone =
• $\bf \: \frac{1}{3} πr²h$