Question : The radius of two spheres is in the ratio of 1 : 5. What is the ratio of the volume of the two spheres?
Option 1: 8 : 27
Option 2: 1 : 25
Option 3: 1 : 125
Option 4: 1 : 64
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 1 : 125
Solution : Let the radii r 1 = $k$ and r 2 = 5$k$ According to the question, ⇒ Volume of sphere 1 (V1) = $\frac{4}{3}\pi k^{3}$ ⇒ Volume of sphere 2 (V2) = $\frac{4}{3}\pi (5k)^{3}$ = $\frac{4}{3}\pi (125)k^{3}$ ⇒ Ratio of volumes = $\frac{V1}{V2}$ = $\frac{\frac{4}{3}\pi k^{3}}{\frac{4}{3}\pi (125)k^{3}}$ = $\frac{k^{3}}{125 k^{3}}$ = $\frac{1}{125}$ Hence, the correct answer is 1 : 125.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?
Question : The surface areas of the two spheres are in the ratio of 64 : 81. Find the ratio of their volumes, in the order given.
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?
Question : The ratio of the volume of two cylinders is 27 : 25 and the ratio of their heights is 3 : 4. If the area of the base of the second cylinder is 3850 cm2, then what will be the radius of the first cylinder?
Question : If the radius of a sphere is $\frac{3}{4}$th of the radius of a hemisphere, then what will be the ratio of the volumes of sphere and hemisphere?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile