Question : The ratio of the volume of the two cones is 2 : 3, and the ratio of the radii of their bases is 1 : 2. The ratio of their heights is:
Option 1: 3 : 8
Option 2: 8 : 3
Option 3: 4 : 3
Option 4: 3 : 4
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 8 : 3
Solution : Let their radii be $x$ and $2x$ and their heights be $h$ and $H$ respectively. According to the question, $\frac{V_1}{V_2}=\frac{\frac{1}{3}\pi r_1^2 h_1}{\frac{1}{3}\pi r_2^2 h_2}$ ⇒ $\frac{V_1}{V_2}=\frac{r_1^2 h_1}{r_2^2 h_2}$ ⇒ $\frac{2}{3}=\frac{x^2 h}{(2x)^2 H}$ ⇒ $\frac{2}{3}=\frac{x^2 h}{4x^2 H}$ ⇒ $\frac{h}{H}=\frac{8}{3}$ Hence, the correct answer is 8 : 3.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : If the ratio of the altitudes of two triangles is 3 : 4 and the ratio of their corresponding areas is 4 : 3, then the ratio of their corresponding lengths of bases is:
Question : If the ratio of the diameters of two right circular cones of equal height is 3 : 4, then the ratio of their volume will be:
Question : If the heights of two cylinders are in the ratio of 2 : 3 and their radii are in the ratio of 6 : 5, then what is the ratio of the volumes of the cylinders?
Question : A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be:
Question : The ratio of the volume of the first and second cylinders is 32 : 9 and the ratio of their heights is 8 : 9. If the area of the base of the second cylinder is 616 cm2, then what will be the radius of the first cylinder?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile