Question : If the heights of two cylinders are in the ratio of 7 : 9 and their diameters are in the ratio of 6 : 7, then what is the ratio of the volumes of the cylinders?
Option 1: 6 : 7
Option 2: 7 : 9
Option 3: 5 : 9
Option 4: 4 : 7
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 4 : 7
Solution : The ratio of heights of two cylinders = 7 : 9 Ratio of diameters = ratio of radii = 6 : 7 Ratio of volumes of two cylinders = $\frac{\frac{4}{3}\pi r_1^2h_1}{\frac{4}{3}\pi r_2^2h_2}$ = $\frac{r_1^2h_1}{r_2^2h_2}$ = $\frac{6^2×7}{7^2×9}$ = $\frac{4}{7}$ = 4 : 7 Hence, the correct answer is 4 : 7.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 4: 4 : 5
Question : If the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
Question : Two cylinders have their heights in the ratio 1 : 2 and their radii in the ratio 2 : 1. What is the ratio of their volumes?
Option 1: 3 : 1
Option 2: 1 : 3
Option 3: 2 : 1
Option 4: 1 : 2
Question : The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?
Option 1: 3 : 5
Option 2: 10 : 9
Option 3: 8 : 15
Option 4: 2 : 3
Question : The ratio of radii of a cylinder to a cone is 3 : 1. If their heights are equal, What is the ratio of their volumes?
Option 1: 1 : 3
Option 2: 27 : 1
Option 3: 9 : 1
Option 4: 1 : 9
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile