Question

If the volume of an cylinder is 1400 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).1400
4).7 sqcm​

Answer 1

★ Appropriate Question :

• If the volume of an cylinder is 1400 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

• 1). 14 cm ✔
• 2). 70 cm
• 3). 1400 cm
• 4). 7 sqcm

★ Required Solution :

★ Values given to us :

• ➻ Volume of cylinder = 1400cm³

• ➻ 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

• ➻ 1400cm³ = 100h

• ➻ 1400 / 100 = ‘h’

• ★ value of height = 14cm ★

✴ Therefore :

✰ Option (1) is correct ✔ ✰

______________________________

Answer 2

Given:

• Volume of cylinder = 1400cm³

• Area of base of cylinder = 100cm²

$\rule{200}{1}$

To find:

• Length or height of the cylinder

$\rule{200}{1}$

Formula used:

• Area of circle=πr²

• Volume of cylinder=πr²h

$\rule{200}{1}$

Solution:

• We have formula for volume of cylinder::

>> Volume of cylinder = π r² h

$\sf Here\begin{cases}\sf r=Radius\: of\: cylinder\\\sf h=Height \:of\: length\:of\: cylinder\end{cases}$

Substitute value of volume = 1400 cm³ and replace π r² with 100 cm² as it is given that area of base( which is circle) is 100 cm².

» 1400cm³  = 100cm²×h

» 1400cm³/100cm²=h

» 14cm=h

So the required height of cylinder is 14cm.

$\rule{200}{1}$