Question

qno33..answer of these​

Answer 1

Question:

The curved Surface area of a cylinder is 6600 $cm^{2}$ and the circumference of its base is 220 cm. Find the capacity of the cylinder.

To find:

Capacity of the cylinder = Volume of the cylinder.

Answer:

$\Large{\boxed{\red{\underline{115500 \: cm^{3} \: or \: 115.5 \: L}}}}$

Step-by-step explanation:

Given,

Curved Surface Area = $6600 \: cm ^{2}$

Circumference of its base = 220 cm

Volume = ?

Radius of the cylinder's base (r) = ?

Height of the cylinder (h) = ?

First we need to find the value of r.

Circumference of circle (its base) = 2πr

Let the π be $\frac{22}{7}$.

220 = 2 × $\frac{22}{7}$ x r

$\frac{220}{2}$ = $\frac{22}{7}$ × r

110 = $\frac{22}{7}$ × r

r = $\frac{110 × 7}{22}$

r = 35 cm

Now, we need to find the value of h.

Curved surface area of cylinder = 2πrh

Let the π be $\frac{22}{7}$.

6600 = 2 × $\frac{22}{7}$ × 35 × h

$\frac{6600}{2}$ = $\frac{22}{7}$ × 35 × h

3300 = $\frac{770}{7}$ × h

3300 = 110 × h

h = $\frac{3300}{110}$

h = 30 cm

Now, we have both height and radius, now, we can find the volume of the cylinder.

Volume of the cylinder = π$r^{2}$h

Let the π be $\frac{22}{7}$.

= $\frac{22}{7}$ × $35^{2}$ × 30

= $\frac{22}{7}$ × 1225 × 30

= 22 × 175 × 30

= 660 × 175

= 115500 $cm^{3}$

1 Litre = 1000 $cm^{3}$

So, the capactiy of the cylinder = $\frac{115500}{1000}$

= 115.5 L (Litre). Ans.

^^

#AnswerWithQuality #BeBrainly!