Question

If the volume of an cylinder is 2100 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

1).21 cm
2).70 cm
3).2100
4).7 sqcm​

Answer 1

★ Appropriate Question :

• If the volume of an cylinder is 2100 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

• (1). 21 cm ✔
• (2). 70 cm
• (3). 2100 cm
• (4). 7 sqcm

★ Required Solution :

★ Values given to us :

• ➻ Volume of cylinder = 2100cm³

• ➻ 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

• ➻ 2100 cm³ = 100h

• ➻ 2100 / 100 = ‘h’

★ value of height = 21cm ★

✴ Therefore :

✰ Option (1) is correct ✔ ✰

______________________________

Answer 2

Step-by-step explanation:

GIVEN:-

ᴠᴏʟᴜᴍᴇ = 2100ᴄᴍ^3

ᴀʀᴇᴀ ᴏғ ʙᴀsᴇ = 100ᴄᴍ^2

TO FIND:-

ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴄʏʟɪɴᴅᴇʀ

PROOF:-

$v = ah$

$h = \frac{v}{a}$

$h = \: \frac{2100}{100}$

$h = 21cm$

ANSWER:-

The length of the cylinder = 21 cm