The curved surface area of a solid cylinder is equal to 3/4 of its total surface area. Find volume. if its total surface area is 1232 cm².
With explanation!
Share
The curved surface area of a solid cylinder is equal to 3/4 of its total surface area. Find volume. if its total surface area is 1232 cm².
With explanation!
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Solution!!
Given that the curved surface area (CSA) of a cylinder is equal to 3/4 of its total surface area (TSA) and the total surface area (TSA) is equal to 1232 cm². We have to calculate the volume of the cylinder.
CSA = 3/4 × 1232
CSA = 924 cm²
3/4 = 2πrh/2πr(h+r)
3/4 = h/h+r
3(h+r) = 4h
3h + 3r = 4h
4h - 3h = 3r
h = 3r
CSA = 2πrh = 2πr × 3r = 924
2 × 22/7 × 3r² = 924
44/7 × 3r² = 924
3r² = 147
r² = 49
r = √49
r = 7 cm
h = 3r
h = 3(7)
h = 21 cm
Volume = πr²h
Volume = 22/7 × 49 × 21
Volume = 22 × 7 × 21
Volume = 3234 cm³
Hope it helps
Mark me as Brainliest ANswer