Question : The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]
Option 1: 1352 cm²
Option 2: 1296 cm²
Option 3: 1496 cm²
Option 4: 1524 cm²

Question

Question : The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]

Option 1: 1352 cm²

Option 2: 1296 cm²

Option 3: 1496 cm²

Option 4: 1524 cm²

Team Careers360 · Accepted Answer

Correct Answer: 1496 cm²

Solution : Total Surface Area of a cone = Base Area + Curved Surface Area
The base area is given as 616 cm².
The curved surface area of a cone = $\pi r l$,
where $r$ is the radius of the base and $l$ is the slant height.
Base Area = $\pi r^2$
$r = \sqrt{\frac{ ext{Base Area}}{\pi}} = \sqrt{\frac{616}{\pi}}=\sqrt{196}= 14 ext{ cm}$
So, Curved Surface Area = $\pi imes 14 imes 20 = 880$ cm²
$ herefore$ Total Surface Area = Base Area + Curved Surface Area = 616 + 880 = 1496 cm²
Hence, the correct answer is 1496 cm².

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Question : The area of the base of a cone is 616 cm2. If its slant height is 20 cm, then what is the total surface area of the cone? [Use π = 227]Option 1: 1352 cm2Option 2: 1296 cm2Option 3: 1496 cm2Option 4: 1524 cm2

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Question : The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use $π$ = $\frac{22}{7}$ ]
Option 1: 1352 cm²
Option 2: 1296 cm²
Option 3: 1496 cm²
Option 4: 1524 cm²