Question : A cone and a cylinder have the same height and the radius of the cone is twice of the radius of the cylinder: What is the ratio of the volume of the cone to that of the cylinder?
Option 1: 2 : 5
Option 2: 4 : 5
Option 3: 3 : 2
Option 4: 4 : 3
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 : 3
Solution : Given: Height $(h)$ = same for cylinder and cone Let the radius of the cylinder be $r$ Radius of cone = $2r$ Volume of a Cone = $\frac{1}{3}\times\pi \times r^2\times h$ = $\frac{1}{3}\times\pi \times 4r^2\times h$ Volume of a Cylinder = $\pi \times r^2\times h$ The ratio of the volume of the cone to the volume of the cylinder $=\frac{1}{3}\times\pi \times 4r^2\times h:\pi \times r^2\times h$ $= 4 : 3$ Hence, the correct answer is 4 : 3.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The radius of a sphere and that of the base of a cylinder are equal. The ratio of the radius of the base of the cylinder and the height of the cylinder is 3 : 4. What is the ratio of the volume of the sphere to that of the cylinder?
Option 1: 27 : 64
Option 2: 1 : 2
Option 3: 1 : 1
Option 4: 9 : 16
Question : If the radius of a cylinder is decreased by 12%, then by how much percentage must its height be increased so that the volume of the cylinder remains the same?
Option 1: 29.13%
Option 2: 21.78%
Option 3: 42.56%
Option 4: 34.27%
Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?
Option 1: 1124.25 cm3
Option 2: 1324.75 cm3
Option 3: 1468.25 cm3
Option 4: 1212.75 cm3
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
Question : If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased so that the volume of the cylinder remains the same.
Option 1: 32.96 percent
Option 2: 41.72 percent
Option 3: 45.28 percent
Option 4: 36.43 percent
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile