Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm3. Find the perpendicular height of this cone
Option 1: 10 cm
Option 2: 12 cm
Option 3: 14 cm
Option 4: 8 cm
Correct Answer: 12 cm
Solution : Given: The volume of a right circular cone = $196\pi\ \text{cm}^3$ Diameter of base = 14 cm Radius = 7 cm Volume of the cone = $\frac{1}{3}\pi r^2 h$ ⇒ $196\pi = \frac{1}{3}\pi r^2 h$ ⇒ $196 = \frac{1}{3}\times7\times7\times h$ ⇒ $h = 12\ \text{cm}$ Hence, the correct answer is 12 cm.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm3, then what is the slant height of the cone? (Use $\pi$ = 3.14)
Question : The volume of a solid right circular cone is $600 \pi \;\text{cm}^3$ and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:
Question : The curved surface area of a right circular cone is $156 \pi$ and the radius of its base is 12 cm. What is the volume of the cone, in cm3?
Question : The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:
Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm2, then what is its volume? (Take $\pi=\frac{22}{7}$)
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile