Question

If the volume of an cylinder is 7000 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

1).14cm
2).70 cm
3).7000cmsq
4).7 sqcm
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Answer 1

★ Correct Question :

• If the volume of an cylinder is 7000 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

• ➩ (1). 14cm
• ➩ (2). 70 cm ✔
• ➩ (3). 2100 cm
• ➩ (4). 7 sqcm

★ Required Solution :

★ Values given to us :

• ➩ Volume of cylinder = 7000cm³

• ➩ 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

• ➩ 7000 cm³ = 100h

• ➩ 7000 / 100 = ‘h’

★ value of height = 70cm ★

⚛ Therefore :

✰ Option (2) is correct ✔ ✰

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Answer 2

Answer:

Given :-

• The volume of an cylinder is 7000 cm³ and the area of the base is 100 cm².

To Find :-

• What is the length of the cylinder.

Solution :

Given :

• Volume of cylinder = 7000 cm³
• Area of the base = 100 cm²

According to the question,

↦ 100 × h = 7000

↦ h = 7000/100

↦ h = 700/10

↦ h = 70/1

➲ h = 70 cm

∴ The length of the cylinder is 70 cm.

Hence, the correct options is option no 2) 70 cm.