Question

. The height of a cylinder is 77 m and the
circumference of the base of the cylinder is
24 m. Find the volume of the cylinder.​

Answer 1

Given :-

• Height of the cylinder is 77 m.
• Circumference of the base of the cylinder is 24 m.

To Find :-

• Volume of the cylinder.

Solution :-

To find the volume of the cylinder, we need radius and height of the cylinder, since height of the cylinder is given, we need to find the radius.

Given, Circumference of base = 24 m.

⇒ Circumference = 24 m

⇒ 2πr = 24

⇒ r = 12/π ...(i)

Now, Substitute the value of r (from eq.(i) ) and h in the following formula to find the volume,

⇒ V = πr²h

⇒ V = π × (12/π)² h

⇒ V = π × 144 / π² × 77

⇒ V = 22/7 × 144 × 49 / 22 × 22 × 77

⇒ V = 144 × 49 × 11 / 22

⇒ V = 144 × 49 / 2

⇒ V = 72 × 49

⇒ V = 3528 m³

Hence, The volume of the given cylinder is 3528 m³.

Some Information :-

• The curved surface area of a cylinder is given by,

⇒ CSA = 2πrh

• Total surface area of a cylinder is given by,

⇒ TSA = 2πrh + πr² = πr (2h + r)

Answer 2

Answer:

• 3528 m³

Step-by-step explanation:

Given

• Height of a cylinder = 77 m
• Circumference of the base of a cylinder = 24 m

To find

• Volume of the cylinder.

Solution

Height of cylinder,

• 77 m

Circumference of the base,

• 2πr = 24
• πr = 24/2
• πr = 12
• r = 12/π

Volume of cylinder,

• V = πr²h
• V = π × (12/π)²h
• V = 22/7 × (12/(22/7))² × 77
• V = (22/7 × 144 × 49)/(22 × 22 × 77)
• V = (144 × 49)/2
• V = 3528

Hence, the volume of cylinder is 3528 m³.