Question

The diameter of cylinder is 28 cm and it is height is 40 cm find the curved surface area, total surface area and valume of cylender

Answer 1

Given

The diameter of cylinder is 28 cm and it is height is 40 cm

To find

find the curved surface area, total surface area and volume of cylinder

Solution

• Diameter of cylinder = 28 cm
• Radius of cylinder = 28/2 = 14cm
• Height of cylinder = 40cm

✑ Now, Curved surface area of cylinder

→ 2πrh

→ 2 × 22/7 × 14 × 40

→ 2 × 22 × 2 × 40

→ 44 × 80

→ 3520 cm²

✑ Total surface area of cylinder

→ 2πrh + 2πr²

Putting the value of CSA

→ 3520 + 2 × 22/7 × (14)²

→ 3520 + 2 × 22/7 × 14 × 14

→ 3520 + 2 × 22 × 2 × 14

→ 3520 + 44 × 28

→ 3520 + 1232

→ 4752 cm²

✑ Volume of cylinder

→ πr²h

→ 22/7 × (14)² × 40

→ 22/7 × 14 × 14 × 40

→ 22 × 2 × 14 × 40

→ 44 × 560

→ 24640 cm³

Hence,

• CSA of cylinder = 3520 cm²
• TSA of cylinder = 4752 cm²
• Volume of cylinder = 24640 cm³

Answer 2

✍ Given :-

• Diameter of Cylinder = 28 cm

• Height (h) = 40cm

✍ To Find :-

• Curved Surface Area

• Total Surface Area

• Volume of Cylinder

✍ Solution :-

➞ Diameter of Cylinder = 28 cm

We know that,

➞ Radius(r) = Diameter / 2 = 28/2 = 14 cm

Now,

We know that,

✰ Curved Surface Area of Cylinder

➡ 2πrh

➡ 2πrh = 2 × 22/7 × 14 × 40 = 3520 cm²

✰ Total Surface Area of Cylinder

➡ 2πr(h + r)

➡ 2πr( h + r) = 2 × 22/7 × 14 (40 + 14)

➡ 88 × 54 = 4752 cm²

✰ Volume of Cylinder

➡ πr²h

➡ πr²h = 22/7 × 14 × 14 × 40 = 24640 cm³