Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
What is the total surface area of the cone? I. The area of the base of the cone is 154 cm2. II. The curved surface area of the cone is 550 cm2. III. The volume of the cone is 1232 cm3.
(a)I, and either II or III
(b)II, and either I or III
(c)III, and either I or II
(d)Any two of the three
(e)None of these
Answer
Answer (as printed): A
Explanation
Total surface area of the cone $=\left(\pi r l+\pi r^{2}\right) \mathrm{cm}^{2}$. I. gives, $\pi r^{2}=154$. Thus, we can find $r$. II. gives, $\pi r l=550$. From I and II we get the answer. III. gives, $\frac{1}{3} \pi r^{2} h=1232$. From I and III, we can find $h$ and therefore, $l$. Hence the surface area can be determined. $\therefore$ Correct answer is (a).
Explanation as extracted from the printed page; notation may be imperfect.