Question : The radius of a solid right circular cone is 36 cm and its height is 105 cm. The total surface area (in cm2) of the cone is:
Option 1: $4296 \pi$
Option 2: $3996 \pi$
Option 3: $5292 \pi$
Option 4: $3969 \pi$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $5292 \pi$
Solution : Radius, $r$ = 36 cm Height, $h$ = 105 cm Slant height, $l =\sqrt{r^2+h^2}$ = $\sqrt{36^2+105^2}$ = $\sqrt{1296+11025}$ = $\sqrt{12321}$ = 111 cm The total surface area of a cone = $\pi r (r+l)$ = $\pi ×36× (36+111)$ = $5292 \pi$ cm$^2$ Hence, the correct answer is $5292 \pi$.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm2, the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:
Question : The volume of a solid right circular cylinder of height 8 cm is $392 \pi$ cm3. Its curved surface area (in cm2) is:
Question : From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a conical cavity of the same height and radius is taken out. What is the total surface area (in cm2) of the remaining solid?
Question : The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm2) of the cone is: (Take $\pi=\frac{22}{7}$)
Question : The curved surface area of a solid hemisphere is 22 cm2. What is the total surface area of the hemisphere? (use $\pi=\frac{22}{7}$)
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile