total surface area of cylinder is 924 cm square if its radius of the base is 7 cm find its height and volume
Answers
Answer:
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Given :
✰ TSA of cylinder = 924cm²
✰ Radius of cylinder = 7cm
To Find :
✰ Height and Volume of cylinder
Solution :
✰ As we Know that Total surface area of cylinder is given by 2πr (h + r) where h is Height and r is radius. By putting the values of radius and Volume we will find the height. After Getting the height we can easily find the Volume of cylinder by Using formula πr²h
TSA of cylinder = 2πr (h + r)
⟶ 924 = 2 × 22/7 × 7(h + 7)
⟶ 924 = 2 × 22 (h + 7)
⟶ 924 = 44h + 7
⟶ H = 924/44 + 7
⟶ H = 21 + 7
⟶ H = 28cm
∴ Height of cylinder is 28cm
Volume of cylinder = πr²h
⟶ 2 × 22/7 × (7)² × 28
⟶ 2 × 22/7 × 49 × 28
⟶ 2 × 22 × 7 × 28
⟶ 44 × 7 × 28
⟶ 8624cm³
∴Volume of cylinder is 8624cm³