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Find the curved surface area of a cylinder with radius 7 cm and height 10 cm. (Use pi = 22/7)
440┬аcm2
220┬аcm2
660┬аcm2
880┬аcm2
440┬аcm2
Since the formula is 2imes722тАЛimesrimesh, and r=7, the 7s cancel out immediately. The calculation simplifies to 2imes22imes10=44imes10=440.
Radius r = 7 cm, height h = 10 cm, and pi = 22/7.
CSA=2╧Аrh
Since the formula is 2imes722тАЛimesrimesh, and r=7, the 7s cancel out immediately. The calculation simplifies to 2imes22imes10=44imes10=440.
Confusing the curved surface area (lateral area) with the total surface area, which would require adding the two circular bases (2╧Аr2).
Identify given values
We are provided with the radius r=7 cm and the height h=10 cm.
r=7,h=10
Apply the CSA formula
The formula for the curved surface area of a cylinder is 2╧Аrh. Substitute the known values into the expression.
CSA=2imes722тАЛimes7imes10
Calculate the final result
Cancel the 7 in the numerator and denominator, then multiply the remaining constants to find the area.
CSA=2imes22imes10=440┬аcm2
A is correct because the substitution and simplification of the formula 2╧Аrh yield exactly 440┬аcm2.
Always remember that for cylinders, the curved surface area is essentially the perimeter of the base (2╧Аr) multiplied by the height (h), similar to how prism surface areas are calculated.