Find the volume and the total surface area of a cylinder where h = 30cm and r = 14cm.
Answers
Solution:
Need to find: Volume of cylinder and TSA of cylinder
Given: Height(h) = 30 cm and Radius(r) = 14 cm
Step-by-step explanation:
→ Volume of cylinder = πr²h
we have,
- radius = 14 cm
- height = 30 cm
→ Volume of cylinder = 22/7 × (14)² × 30
→ Volume of cylinder = 22/7 × 14 × 14 × 30
(multiplying 14 with 14)
→ Volume of cylinder = 22/7 × 196 × 30
(multiplying 196 with 30)
→ Volume of cylinder = 22/7 × 5880
(cancelling 5880 by 7)
→ Volume of cylinder = 22 × 840
→ Volume of cylinder = 18480 cm³
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Now,finding the TSA of cylinder;
➢ TSA of cylinder = 2πr(r+h)
we have,
- radius = 14 cm
- height = 30 cm
➢ TSA of cylinder = 2 × 22/7 × 14 (14+30)
➢ TSA of cylinder = 2 × 22/7 × 14 (44)
(dividing 14 with 7) and (multiplying 2 with 44)
➢ TSA of cylinder = 2 × 22 × 88
➢ TSA of cylinder = 2 × 1936
➢ TSA of cylinder = 3872 cm²
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Hence,
- Volume of cylinder = 18480 cm³
- TSA of cylinder = 3872 cm²