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
Correct Answer: 1496 cm 2
Solution :
Total Surface Area of a cone = Base Area + Curved Surface Area
The base area is given as 616 cm
2
.
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 = $\pi r^2$
$r = \sqrt{\frac{\text{Base Area}}{\pi}} = \sqrt{\frac{616}{\pi}}=\sqrt{196}= 14 \text{ cm}$
So, Curved Surface Area = $\pi \times 14 \times 20 = 880$ cm
2
$\therefore$ Total Surface Area = Base Area + Curved Surface Area = 616 + 880 = 1496 cm
2
Hence, the correct answer is 1496 cm
2
.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
