Math, asked by dchikki15, 1 year ago

the circumference of the circular base of a cylinder is 44 cm and its height is 15 cm . the volume of the cylinder is

Answers

Answered by aastha44
97
#circumference of circle = 2πr
#44= 2 ❌ 22/7 r
#44 ❌ 7 / (2 ❌ 22) = r
#7 = r
#volume of cylinder = πr^2h
= 22/7 ❌ (7)^2 ❌15
= 2310
Answered by gayatrikumari99sl
3

Answer:

2310cm^{3} is the required volume of the cylinder

Step-by-step explanation:

Explanation:

Given , Circumference of the circular base of cylinder = 40 cm

and height of the cylinder = 15cm

Let' r' be the radius of the cylinder .

Step 1:

Formula for Circumference  of base of  cylinder = 2\pi r

⇒2× \frac{22}{7}× r = 44   (44cm is the circumference of base of cylinder given)

(\frac{44}{7} )r = 44

⇒ r = 7 cm

So , the radius of the cylinder is 7 cm .

Step 2:

Formula for volume of cylinder = \pi r^{2} h

Put the value of radius = 7 cm and height = 15cm in the volume formula ⇒ Volume = \frac{22}{7} × 7×7×15

⇒Volume = 22 × 7× 15 = 2310cm^{3}

Final answer:

Hence , the volume of the cylinder is 2310cm^{3}

#SPJ2

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