Question

The volume of a cylinder is 792 cm3 and height 7 cm.Find its
lateral surface area and total surface area.

Answer 1

$\large\pink{\boxed{Answer\::1584\: {cm}^2\:,\:490.28\:{cm}^2}}$

$\:\sf\underline\green{Given\::}\:$

• The volume of a cylinder is 792 cm³
• Its height measures to 7 cm

$\:\sf\underline\red{To\:Find\::}\:$

• Its lateral surface area
• Total surface area

$\:\sf\underline\blue{Solution}\:$

Note : The formula of volume of a cylinder is πr²h

• The formula of lateral surface area of cylinder is 2πrh
• The formula of total surface area of cylinder is 2πr ( r + h )

Volume of cylinder = πr²h

• 792 cm³ = $\dfrac{22}{7}\:\times\:r^2\:\times\:7$

• 792 cm³ = 22 × r²
• $\dfrac{792}{22}$ = r²
• 36 = r²
• √36 = r
• r = 6 cm

Lateral surface area = 2πrh

• LSA = 2 × $\dfrac{22}{7}\:\times\:6^2\:\times\:7$
• LSA = 44 × 36
• LSA = 1584 cm²

Total surface area = 2πr ( r + h )

• TSA = $2\:\times\:\dfrac{22}{7}\:\times\:6\:\times\:(\:6\:+\:7\:)$
• TSA = $\dfrac{3432}{7}$
• TSA = 490.28 cm²

Answer 2

Answer:

490.28

Step-by-step explanation:

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