Question

the csa of a cylinder is 440 sq cm and its height is 10 cm. find its base area​

Answer 1

Answer:

154 cm square is the base area of the cylinder.

Step-by-step explanation:

The details about the cylinder given in the question:

We will assume the radius of the cylinder as r.

CSA of the cylinder = 440 sq cm

Height of the cylinder = 10 cm

Formula for finding the CSA of a cylinder = 2πrh

Radius of the cylinder = 2πrh = 440

=> 2 * 3.14 * r  * 10 = 440(Taking value of pie as 3.14)

=> 62.8r = 440

=> radius = 7 cm (approx.)

Now we can find the base area as we know the radius:

Formula for finding base area of a cylinder = π$r^{2}$

=> 22/7 * 7 * 7 (Taking value of pie as 22/7)

Therefore, 154 cm square is the base area of the cylinder.

Answer 2

$\large\underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

CSA of cylinder = 440 cm²

Height of cylinder = 10 cm

Let ,

Radius of cylinder = r

We know that ,

$\large \fbox{ \fbox{ \sf CSA \: of \: cylinder = 2πrh}}$

$\to \sf 440 = 2 \times \frac{22}{7} \times r \times 10 \\ \\\to \sf 440 = \frac{440 \times r}{7} \\ \\\to \sf 1 = \frac{r}{7} \\ \\\to \sf r = 7 \: \: cm$

Now , the base of a cylinder in the form of circle , so

$\large \fbox{\fbox{ \sf Base \: area \: of \: cylinder = \pi {r}^{2} }}$

$\to \sf Base \: area = \frac{22}{7} \times 7 \times 7\\ \\\to \sf Base \: area = 22 \times 7\: {cm}^{2}$

Hence , 154 cm² is the base area of given a cylinder