Question

the volume of a cylinder is 308cm square.its height is 8cm.find it's lateral surface area and total surface area​

Answer 1

Answer:

1. Lateral surface area of cylinder = 176 cm²
2. Total surface area of cylinder = 253 cm²

Step-by-step explanation:

Given that:

• Volume of a cylinder is 308 cm².
• Height of a cylinder is 8 cm.

To Find:

1. Lateral surface area of cylinder
2. Total surface area of cylinder

First finding the radius of a cylinder:

Volume of a cylinder = πr²h

⇒ 308 = π × r² × 8

⇒ r² = (308 × 7)/(8 × 22)

⇒ r² = 12.25

⇒ r = √12.25

⇒ r = 3.5

∴Radius of a cylinder = 3.5 cm

Finding the lateral surface area of cylinder:

• Lateral surface area of cylinder = 2πrh
• Lateral surface area of cylinder = (2 × 22 × 3.5 cm × 8 cm)/7
• Lateral surface area of cylinder = (1232 cm²)/7
• Lateral surface area of cylinder = 176 cm²

Finding the total surface area of cylinder:

• Total surface area of cylinder = 2πr(r + h)
• Total surface area of cylinder = 2π × 3.5 cm × (3.5 cm × 8 cm)
• Total surface area of cylinder = (2 × 22 × 3.5 cm × 11.5 cm)/7
• Total surface area of cylinder = (1771 cm²)/7
• Total surface area of cylinder = 253 cm²

Answer 2

Answer:

Hope it helps you

Step-by-step explanation:

Question:

• The volume of a cylinder is 308cm². Its height is 8cm. Find it's lateral surface area and total surface area.

Given:

• Volume of cylinder = 308cm²
• Height of the cylinder = 8cm

To find:

• Radius
• Lateral Surface Area
• Total Surface Area

Formulas used:

• πr²h
• 2πrh
• 2πr(h+r)

Solution:

• πr²h = 308
• 22/7 × r² × 8 = 308
• r² = 308×7/8×22
• r² = 2156/176
• r² = 49/4
• r = √49/4
• r = 7/2 cm

Radius = 7/2 cm

Curved Surface Area:

• 2πrh
• 2 × 22/7 × 7/2 × 8
• 2×11×8
• 176cm²

Total Surface Area:

• 2πr(h+r)
• 2×22/7×7/2(8+3.5)
• 2×22/7×3.5×11.5
• 253cm²