Fine the surface area of cylinder whose diameter is 21cm and the hight is 7cm

Mathematics

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Answer

367.5π cm2367.5\pi \text{ cm}^2

Step-by-step solution

2 steps
  1. Calculate the radius (rr) of the cylinder.

    The diameter (dd) is 21 cm. The radius is half of the diameter:

    r=d2r = \frac{d}{2} r=212r = \frac{21}{2} r=10.5 cmr = 10.5 \text{ cm}
  2. Calculate the surface area (AA) of the cylinder.

    The formula for the surface area of a cylinder is A=2πr2+2πrhA = 2\pi r^2 + 2\pi r h, where rr is the radius and hh is the height.
    Substitute the values r=10.5r = 10.5 cm and h=7h = 7 cm into the formula:

    A=2π(10.5)2+2π(10.5)(7)A = 2\pi (10.5)^2 + 2\pi (10.5)(7) A=2π(110.25)+2π(73.5)A = 2\pi (110.25) + 2\pi (73.5) A=220.5π+147πA = 220.5\pi + 147\pi A=367.5π cm2A = 367.5\pi \text{ cm}^2

    The surface area of the cylinder is 367.5π cm2367.5\pi \text{ cm}^2.

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