Four times the area of curb …

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Four times the area of curb surface of a cylinder is equal to 6 times the sum of the area of its bases if its height is 12 cm, find its curve surface area....

Posted by Shagun Choudhary 2 years, 8 months ago

CBSE > Class 08 > Mathematics

3 answers

Preeti Dabral 2 years, 8 months ago

Let the radius and height of the cylinder be r and h, respectively.
Curved surface area of cylinder = 2{tex}\pi{/tex}rh
Area of base = {tex}\pi{/tex}r²
Sum of areas of bases = 2{tex}\pi{/tex}r²
According to the question, 4 {tex}\times{/tex} Curved surface area = 6 {tex}\times{/tex} Sum of areas of bases
4 {tex}\times{/tex} 2{tex}\pi{/tex}rh = 6 {tex}\times{/tex} 2{tex}\pi{/tex}r²
= 8{tex}\pi{/tex}rh = 12{tex}\pi{/tex}r²
= 2h = 3r
{tex}\Rightarrow \quad r=\frac{2}{3} h{/tex}
{tex}\therefore \quad r=\frac{2}{3} \times 12{/tex} = 8cm [{tex}\because{/tex} h = 12 cm, given]
{tex}\therefore{/tex} Curved surface area of the cylinder = 2{tex}\pi{/tex}rh
= {tex}2 \times \frac{22}{7} \times 8 \times 12=\frac{44 \times 8 \times 12}{7}{/tex}
= 603.428 cm²

1Thank You

Shagun Choudhary 2 years, 8 months ago

Thanks

1Thank You

Shreya Swarneya 2 years, 8 months ago

603.428

1Thank You

ANSWER

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CBSE > Class 08 > Mathematics