Question

the area of base of a right circular cylinder is 1386 cm square and height is 14 find its volume

Answer 1

Answer:24948cm^3

Step-by-step explanation: Area of base i.e πr^2=1386

22/7×r^2=1386

r^2 = 1386×7/22

r^2=441

r= 21

Now volume of cylinder = πr^2h

=22/7×21×21×14

=24948 cm^3

Answer 2

GIVEN:

• Area of base of a right circular cylinder is 1386 cm²
• Height of the cylinder is 14 cm

TO FIND:

• What is the volume of the cylinder ?

SOLUTION:

Let the radius of the right circular cylinder be 'r' cm

We know that the formula for finding the area of the base of a right circular cylinder is:-

$\large\bf{\star \: Area = \pi r^2 \: \star}$

According to question:-

Take π = 22/7

$\sf{\rightarrow 1386 = \dfrac{22}{7} \times r^2 }$

$\sf{\rightarrow 1386 \times 7 = 22 \times r^2}$

$\sf{\rightarrow r^2 = \dfrac{\cancel{1386} \times 7}{\cancel{22}}}$

$\sf{\rightarrow r^2 = 63 \times 7}$

$\sf{\rightarrow r^2 = 441}$

$\sf{\rightarrow r = \sqrt{441}}$

$\bf{\rightarrow \star \: r = 21 \: cm \: \star}$

❝ The radius of the cylinder is 21 cm ❞

☞ Now, we have to find the volume of the cylinder

To find the volume of the cylinder, we use the formula:-

$\large\bf{\star \: Volume = \pi r^2 h \: \star}$

According to question:-

$\sf{\rightarrow Volume = \dfrac{22}{7} \times (21)^2 \times 14}$

$\sf{\rightarrow Volume = \dfrac{22}{\cancel{7}} \times 441 \times \cancel{14}}$

$\sf{\rightarrow Volume = 22 \times 441 \times 2}$

$\bf{\star \: Volume = 19404 \: cm^3 \: \star}$

❝ Hence, the volume of the right circular cylinder is 19404 cm³ ❞

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