ii) Find the total surface area of the right circular cylinder whose volume and height
are 490 cm³ and 10 cm respectively. Ans: 748 cm²
Answers
Answer:
Answer:curved surface area= 440cm^2 total surface area=748 cm^2 volume = 1540 cm^3Step-by-step explanation:h ...
Answer:
Total surface area of the right circular cylinder is 345 cm².
Step-by-step explanation:
The formula to find the volume of cylinder is:
=> Volume of cylinder = πr²h
Where, Volume = 490 cm³ and Height(h) = 10 cm
By applying the formula, let's find the radius of the cylinder.
=> πr²h = Volume
=> (22 × r² × 10) / 7 = 490
=> 220 × r² = 490 × 7
=> 220 × r² = 3430
=> r² = 3430 / 220
=> r² = 15.59
=> r = 3.94 cm
To find the total surface area of cylinder, we use the formula:
=> TSA = 2πr(h + r)
By applying the formula, we get:
=> TSA = [2 × 22 × 3.94 (10 + 3.94)] / 7
=> TSA = (173.36 × 13.94) / 7
=> TSA = 2416.63 / 7
=> TSA 345 cm²
Hence, the total surface area of the cylinder is approximately equal to 345 cm².