The height of a solid cylinder is 8 cm and its base radius is 6 cm, a cone of equal height and the radius is extracted from the cylinder, then find the total surface area of the remaining solid.a)6andpi; cm2b)36andpi; cm2c)192andpi; cm2d)16andpi; cm2Correct answer is option 'C'. Can you explain this answer?

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The height of a solid cylinder is 8 cm and its base radius is 6 cm, a cone of equal height and the radius is extracted from the cylinder, then find the total surface area of the remaining solid.

a)
6π cm²
b)
36π cm²
c)
192π cm²
d)
16π cm²

Correct answer is option 'C'. Can you explain this answer?

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The height of a solid cylinder is 8 cm and its base radius is 6 cm, a ...

Total surface of the remaining solid = C.S.A of cylinder + Area of upper circle + πrl
⇒ Total surface of the remaining solid = 2πrh + πr²+ πrl
⇒ Total surface of the remaining solid = πr[2h + r + l]
∴ Total surface of the remaining solid = 6π[16 + 6 + 10] = 192π cm²

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The height of a solid cylinder is 8 cm and its base radius is 6 cm, a cone of equal height and the radius is extracted from the cylinder, then find the total surface area of the remaining solid.a)6π cm2b)36π cm2c)192π cm2d)16π cm2Correct answer is option 'C'. Can you explain this answer?

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