Question

The curved surface area of a cylinder is 1000 cm² and the radius of its base is 21 cm . find the total surface area of the cylinder.​

Answer 1

Answer:

this is the answer

Step-by-step explanation:

Given:

Curved surface area of cylinder =1000Sq cm

Radius of cylinder=21cm

2*22/7*21*h=1000

44*3*h=1000

h=1000/44*3

h=1000/132

h=250/33

Total surface area of cylinder=2*22/7*21(21+250/33)

132(943/33)

132(28.57)

3771.24 sq cm

Total surface of cylinder = 3771.24Sq cm

Answer 2

Given:

A cylinder with

• Curved Surface Area (CSA) = 1000 cm²
• Radius of base = 21 cm

What To Find:

We have to find the

• Total Surface Area (Area)

How To Find:

To find the TSA we have to,

• Find the height (h) using the formula of CSA.
• Then find the TSA.

Formula For Finding:

• CSA of cylinder = $\sf{2 \pi r h}$
• TSA of cylinder = $\sf{2 \pi r (r + h)}$

Solution:

• Finding the height.

Using the formula,

⇒ $\sf{CSA = 2 \pi r h}$

Substitute the values,

⇒ $\sf{1000 \: cm^2 = 2 \times \dfrac{22}{7} \times 21 \times h}$

Cancel 7 and 21,

⇒ 1000 cm² = 2 × 22 × 3 × h

Multiply in RHS,

⇒ 1000 cm² = 132 × h

Take 132 to LHS,

⇒ $\sf{ \dfrac{1000}{132} = h}$

Divide 1000 by 132,

⇒ $\sf{ \dfrac{250}{33} \: cm = h}$

• Finding the TSA.

Using the formula,

⇒ $\sf{TSA = 2 \pi r (r + h)}$

Substitute the values,

⇒ $\sf{TSA = 2 \times \dfrac{22}{7} \times 21 \bigg(21 + \dfrac{250}{33} \bigg)}$

Solve the brackets,

⇒ $\sf{TSA = 2 \times \dfrac{22}{7} \times 21 \times \dfrac{943}{33}}$

Cancel 21 and 7,

⇒ $\sf{TSA = 2 \times 22 \times 3 \times \dfrac{943}{33}}$

Cancel 33 and 3,

⇒ $\sf{TSA = 2 \times 22 \times\dfrac{943}{11}}$

Cancel 11 and 22,

⇒ $\sf{TSA = 2 \times 2 \times 943}$

Multiply in RHS,

⇒ TSA = 3,772 cm²

∴ Thus, the total surface area of the cylinder is 3,772 cm².