*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
Answers
Answered by
21
★ 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?*
- 1). 70 cm
- 2). 7 cm ✔
- 3). 700 cm
- 4). 7 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 ✔ ✰
______________________________
Answered by
84
Information provided with us :
- The volume of an cylinder is 700 cubic centimeters.
- The area of the base is 100 square centimeters.
What we have to calculate :
- Length of the cylinder?
Performing Calculations :
Here we have to calculate the length of the cylinder i.e., height of cylinder.
- V = 700cm³
- A = 100cm²
We would be using the formulas of calculating the volume of cylinder and area of cylinder.
★ Now, volume of cylinder :
Where,
- r is radius
- h is height
- Value of π is 22/7
We're given with the value of volume of cylinder as 700cm³ and the value of (πr²) is 100 cm³ so we would substitute them in this formula.
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