Question

the curved surface area of a cylinder is 1000cm squre,and the radius of its base is 21 cm. find the total surface area of the cylinder
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Answer 1

Step-by-step explanation:

CSA=1000cm²

base=21cm

height =?

area =2πrh

1000=2×22/7×21×h

1000=132h

h=250/33

TSA=2πr(r+h)

=2×22/7×21(21+250/33)

=132(943/33)

=3772cm²

Answer 2

Answer:

The total surface area of cylinder is 3772 cm².

Step-by-step-explanation:

We have given that,

The curved surface area of cylinder is 1000 cm².

The radius of the base of cylinder is 21 cm.

We have to find the total surface area of the cylinder.

Now, we know that,

Total surface area of cylinder = 2 π r ( r + h )

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 π r² + 2 π r h

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 π r² + ( CSAᶜʸˡⁱⁿᵈᵉʳ ) - - - [ ∵ CSAᶜʸˡⁱⁿᵈᵉʳ = 2 π r h ]

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 * ( 22 / 7 ) * ( 21 )² + 1000 - - - [ Given ]

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 * ( 22 / 7 ) * 21 * 21 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 * 22 * 21 ÷ 7 * 21 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 * 22 * 3 * 21 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2 * 3 * 21 * 22 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 6 * 462 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 2772 + 1000

⇒ TSAᶜʸˡⁱⁿᵈᵉʳ = 3772

⇒ Total surface area of cylinder = 3772 cm²

∴ The total surface area of cylinder is 3772 cm².