Question

*If the radius of the base of a cylinder is 7 cm and the length is 10 cm, what is its curved surface area?*

1️⃣ 70 cm
2️⃣ 440 sqcm
3️⃣ 440 cubic cm
4️⃣ 700 sqcm​

Answer 1

Answer:

Radius of base of cylinder = 7cm

circumference of base of cylinder = 2πr

= 2×22/7×7 = 44cm

circumference of a circle = breadth

breadth = 44cm

length = 10cm

area of curved surface area = l×b

= 44×10

= 440 sqcm .

Hope it will helps you.

Answer 2

$\large\bf{ \underline{ \underline{Answer : }}}$

$\boxed{\rm{ \underline{(2) \: 440 \: cm^2}}} \: \checkmark$

$\bullet$ CSA of the cylinder is 440 cm²

Given :

• Radius of the base of cylinder is 7 cm
• Height of the cylinder is 10 cm

To Find :

• CSA (Curved surface area) of the cylinder.

Calculation :

To calculate the curved surface area of cylinder, when radius & height are provided; we'll be using this formula :

$\star{ \boxed{ \rm{ \pmb{ \gray{CSA = 2\pi \: rh}}}}}$

Where,

• Radius = 7 cm
• Height = 10 cm

$\dag$ Putting the values,

$: \implies \sf CSA_{(Cylinder)} = 2\pi \: rh$

$: \implies \sf CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 7 \: cm \times 10 \: cm$⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \sf CSA_{(Cylinder)} = 2 \times 22 \times 10 \: cm$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies \sf CSA_{(Cylinder)} = 44 \times 10 \: cm$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies{ \boxed{\sf CSA_{(Cylinder)} = 440 \: cm^2 }} \: \purple{ \bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, CSA (Curved surface area) of the cylinder is 440 cm². ⠀⠀⠀