Find the height of a cylinder whose volume is 38.5^3and it's diameter of base is 3.5 cm please answer the question with step by step explaination please answer fast
Answers
Solution :
Given:
Volume of cylinder = 38.5cm³.
Diameter of base of cylinder = 3.5cm.
To find:
The height of a cylinder.
Explanation:
We know that, if we are given with the diameter of base of cylinder, we have the required formula, that is,
Radius = Diameter/2.
By using the required formula to calculate the radius of cylinder and substituting the given values in the formula, we get:
→ Radius = 3.5/2
→ Radius = 1.75.
Now,
We know that, if we are given with the volume of cylinder and radius of cylinder, we have the required formula, that is,
Volume of cylinder = πr²h.
By using the required formula of volume of cylinder to find the height of cylinder and substituting all the given values in the formula, we get:
→ 38.5 = 22/7 ×(1.75)² × h
→ 38.5 = 22/7 × 3.06 × h
→ 38.5 × 7 = 22 × 3.06 × h
→ 269.5 = 22 × 3.06 × h
→ 269.5 = 67.32 × h
→ 269.5 = 67.32h
→ h = 269.5/67.32
→ h = 4.003 (Approx)
Hence, the height of a cylinder is 4.003cm approximately.
Answer:
Radius = Diameter/2.
→ Radius = 3.5/2
→ Radius = 1.75.
Now,
Volume of cylinder = πr²h.
→ 38.5 = 22/7 ×(1.75)² × h
→ 38.5 = 22/7 × 3.06 × h
→ 38.5 × 7 = 22 × 3.06 × h
→ 269.5 = 22 × 3.06 × h
→ 269.5 = 67.32 × h
→ 269.5 = 67.32h
→ h = 269.5/67.32
→ h = 4.003 (Approx)
Hence, the height of a cylinder is 4.003cm approximately.
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