30 circular plates each of radius 14 cm and thickness 3 cm are placed one aboved the another to form a cylinderical solid Find ratio of volume of plate of volume of cylinder so formed
Answers
Answer :
- TSA of cylindrical solid is 9152cm²
- Volume of cylinder so formed is 55440cm³
Given :
- Radius is 14cm
- Thickness of a circular plate is 3cm
- Height of cylinder = 30 × 3 = 90 cm
To find :
- TSA of cylindrical solid
- Volume of cylinder so formed
Solution :
- Height of cylinder = 30 × 3 = 90cm
(1) total surface area of cylindrical solid :
As we know that :
- TSA of cylindrical solid = 2πr(h + r)
where , r is 14cm , h is 90cm ,
⟾ 2πr(h + r)
⟾ 2 × 22/7 × 14(90 + 14)
⟾ 44 × 2 × 104
⟾ 9152 cm²
Hence ,Total surface area of cylindrical solid is 9152cm²
(2) Volume of cylindrical so formed :
As we know that :
- volme of cylindrical so formed = πr²h
where, r is 14cm and h is 90 cm
⟾ πr²h
⟾ 22/7 x 14² × 90
⟾ 22/7 × 14 × 14 × 90
⟾ 22 × 28 × 90
⟾ 55440 cm³
Hence, Volme of cylinder so formed is 55440 cm³
- TSA of cylindrical solid is 9152cm²
- Volume of cylinder so formed is 55440cm³
Answer:
Answer :
TSA of cylindrical solid is 9152cm²
Volume of cylinder so formed is 55440cm³
Given :
Radius is 14cm
Thickness of a circular plate is 3cm
Height of cylinder = 30 × 3 = 90 cm
To find :
TSA of cylindrical solid
Volume of cylinder so formed
Solution :
Height of cylinder = 30 × 3 = 90cm
(1) total surface area of cylindrical solid :
As we know that :
TSA of cylindrical solid = 2πr(h + r)
where , r is 14cm , h is 90cm ,
⟾ 2πr(h + r)
⟾ 2 × 22/7 × 14(90 + 14)
⟾ 44 × 2 × 104
⟾ 9152 cm²
Hence ,Total surface area of cylindrical solid is 9152cm²
(2) Volume of cylindrical so formed :
As we know that :
volme of cylindrical so formed = πr²h
where, r is 14cm and h is 90 cm
⟾ πr²h
⟾ 22/7 x 14² × 90
⟾ 22/7 × 14 × 14 × 90
⟾ 22 × 28 × 90
⟾ 55440 cm³
Hence, Volme of cylinder so formed is 55440 cm³
TSA of cylindrical solid is 9152cm²
Volume of cylinder so formed is 55440cm³