Question

*If the volume of an cylinder is 700 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

1️⃣ 70 cm
2️⃣ 7 cm
3️⃣ 700 cm
4️⃣ 7 sqcm​

Answer 1

Given :-

• Volume of Cylinder = 700 cm³
• Area of base (Circle) = 100 cm²

To Find :-

• Height (h) of Cylinder

Solution :-

We know that,

• Volume of Cylinder = πr²h = 700

• Area of base = πr² = 100

So ,

➮ πr²h = 700

➮ 100(h) = 700. ---(πr² = 100cm²)

➮ h = 700/100

➮ h = 7 cm

Hence ,

• Height (h) of Cylinder is 7cm.

Answer 2

★ Appropriate Question :

• If the volume of an cylinder is 700 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

• 1️ 70 cm
• 2️ 7 cm ✔
• 3️700 cm
• 4️7 sqcm

★ Required Solution :

★ Values given to us :

• ➻ Volume of cylinder = 700cm³

• ➻ Area of base of cylinder = 100cm²

★ Formula used here :

• ➻ area of base of cylinder = πr²

• ➻ Volume of cylinder = πr²h

✴ Let ‘h’ be length of cylinder

★ According to question :

• ➻ Volume of cylinder = area of base of cylinder

• ➻ 700cm³ = 100h

• ➻ 700 / 100 = ‘h’

★ value of height = 7 cm ★

✴ Therefore :

✰ Option (2) is correct ✔ ✰

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