Question

• The height of a circular cylinder is 6 cm. And
C.S.A is 704 cm² find the base area of the
cylinder​

Answer 1

Answer:

1095.1 cm^2

Step-by-step explanation:

Cylinder

h=6cm

CSA= 704 sq. cm

That means, 2*pi*r*h=704 sq. cm

so, 2×22/7×r×6=704 sq. cm

r = 56/3 cm

So, base area of cylinder = pi*r^2

= 22/7×56/3×56/3

= 1095.1 sq. cm

Answer 2

Given:

✰ The height of a circular cylinder = 6 cm

✰ Curved surface area ( C.S.A ) = 704 cm²

To find:

✠ The base area of the cylinder.

Solution:

Let's understand the concept first! First we will out the radius of a cylinder, by using formula of curved surface area. Putting the given values in the formula and doing required calculations, we will find out the radius of the cylinder. After that by using formula to calculate the base area of cylinder, we will find out the base area of cylinder.

Let's find out...!

✭ Curved surface area ( C.S.A ) = 2πrh ✭

Where,

• r is the radius of the cylinder.
• h is the height of the cylinder.

Putting the values in the formula, we have:

➛ 704 = 2 × 22/7 × r × 6

➛ 704 = 44/7 × r × 6

➛ 704 = 44/7 × r × 6

➛ 704 = 264/7 × r

➛ r = 704 × 7/264

➛ r = 88 × 7/33

➛ r = 8 × 7/3

➛ r = 56/3

➛ r = 18.67 cm

Now,

✭ Base area of cylinder = πr² ✭

Where,

• r is the radius of the cylinder.

Putting the values in the formula, we have:

➤ Base area of cylinder = 22/7 × (56/3)²

➤ Base area of cylinder = 22/7 × 56/3 × 56/3

➤ Base area of cylinder = 22 × 8/3 × 56/3

➤ Base area of cylinder = 9856/9

➤ Base area of cylinder ≈ 1095.11 cm²

∴ The base area of the cylinder = 1095.11 cm²

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