3 Views

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 7th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

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 .

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books