Question : The height and curved surface area of a right circular cylinder are $7~ ext{cm}$ and $70\pi~ ext{cm}^2$. Its total surface area is:
Option 1: $140 \pi~ ext{cm}^2$
Option 2: $150 \pi~ ext{cm}^2$
Option 3: $180 \pi~ ext{cm}^2$
Option 4: $120 \pi~ ext{cm}^2$

Question

Question : The height and curved surface area of a right circular cylinder are $7~ ext{cm}$ and $70\pi~ ext{cm}^2$. Its total surface area is:

Option 1: $140 \pi~ ext{cm}^2$

Option 2: $150 \pi~ ext{cm}^2$

Option 3: $180 \pi~ ext{cm}^2$

Option 4: $120 \pi~ ext{cm}^2$

Team Careers360 · Accepted Answer

Correct Answer: $120 \pi~ ext{cm}^2$

Solution : The curved surface area of a right circular cylinder, where $r$ is the radius and $h$ is the height $= 2\pi r h$
Given that the curved surface area is $70\pi~ ext{cm}^2$ and the height is $7~ ext{cm}$,
$⇒70\pi = 2\pi r imes 7$
$⇒r = \frac{70}{2 imes 7} = 5~ ext{cm}$
The total surface area of a cylinder,
$= 2\pi r(h + r)$
$= 2\pi imes 5(7 + 5) = 10\pi imes 12 = 120\pi~ ext{cm}^2$
Hence, the correct answer is $120\pi~ ext{cm}^2$.

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Question : The height and curved surface area of a right circular cylinder are 7 cm and 70π cm2. Its total surface area is:Option 1: 140π cm2Option 2: 150π cm2Option 3: 180π cm2Option 4: 120π cm2

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Question : The height and curved surface area of a right circular cylinder are $7 cm$ and $70 π {cm}^{2}$ . Its total surface area is:
Option 1: $140 π {cm}^{2}$
Option 2: $150 π {cm}^{2}$
Option 3: $180 π {cm}^{2}$
Option 4: $120 π {cm}^{2}$