The volume of a cylinder is 2200cm^3 and the radius of its base is 10cm. Find its LSA.
Answers
Step-by-step explanation:
Radius of cylindrical base (r) = 10cm (given)
Height (h) of cylinder = ?
Also, Volume of the cylinder = 2200cm^3 (given)
=> πr^2h = 2200cm^3
=> 22/7 × (10)^2 × h = 2200cm^3
=> 22/7 × 100 × h = 2200cm^3
=> 2200/7 × h = 2200cm^3
Therefore, h = 2200 ÷ 2200/7
= 2200 × 7/2200
= 7cm
So, Height (h) of cylinder = 7cm
L.S.A of cylinder = 2πrh
= 2 × 22/7 × 10 × 7
= 440 cm^2
Hope it helps :)
Answer:
- The lateral surface area of the cylinder = 440 cm²
Given :
- Radius of cylinder = 10 cm
- Volume of cylinder = 2200 cm³
To find :
- Its lateral surface area =?
Step-by-step explanation:
We have,
Volume of cylinder = 2200 [given]
Formula to find the volume of a cylinder = Πr²h
So, Πr²h = 2200
→ 22/7 x (10)² x h = 2200
→ 22/7 x 10 x 10 x h = 2200
→ 22/7 x 100 x h = 2200
→ h = 2200 x 7 / 100 x 22
→ h = 7
So, height of cylinder = 7 cm
Then, it's L. S. A = 2Πrh
Substituting the values in the above formula, we get :
= 2 x 22/7 x 10 x 7
= 2 x 22 x 10
= 440 cm²