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A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to transfer all the water into the small semispheres?
  • a)
    2812                       
  • b)
    8231                       
  • c)
    2734                       
  • d)
    4222
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A volume of 10936 l water is in a container of sphere.How many semisph...
vol.of small container (semi sphere)=4 l 
total vol.of water =10936 l 
no of small containers required = 10936/4=2734
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Most Upvoted Answer
A volume of 10936 l water is in a container of sphere.How many semisph...
Given information:
- Volume of water in the container = 10936 liters
- Volume of each small semisphere = 4 liters

To find:
- Number of small semispheres required to transfer all the water

Let's solve the problem step by step:

Step 1: Conversion of units
- 1 liter = 1000 cubic centimeters (cc)
- Volume of water in the container = 10936 liters = 10936 * 1000 cc = 10936000 cc
- Volume of each small semisphere = 4 liters = 4 * 1000 cc = 4000 cc

Step 2: Calculation of the number of small semispheres required
- We know that the volume of a sphere can be calculated using the formula: V = (4/3) * π * r^3
- Since we have small semispheres, we need to consider the volume of a semisphere which is half of the volume of a sphere.
- The volume of a semisphere can be calculated using the formula: V = (2/3) * π * r^3

Let's assume the radius of each small semisphere is 'r' cm.

- Volume of each small semisphere = (2/3) * π * r^3 = 4000 cc

Step 3: Calculation of the number of small semispheres
- We can rearrange the formula to find the radius 'r' as follows: r = (3 * (4000 / π))^(1/3)
- Substituting the value of 'r' in the volume formula, we can calculate the number of small semispheres required.

Let's calculate the number of small semispheres:

r = (3 * (4000 / π))^(1/3)
r ≈ 14.23 cm

Volume of water in the container = Volume of small semispheres
10936000 cc = Number of small semispheres * Volume of each small semisphere

Number of small semispheres = 10936000 cc / 4000 cc
Number of small semispheres ≈ 2734

Therefore, the correct answer is option C) 2734.
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A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to transfer all the water into the small semispheres?a)2812 b)8231 c)2734 d)4222Correct answer is option 'C'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to transfer all the water into the small semispheres?a)2812 b)8231 c)2734 d)4222Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to transfer all the water into the small semispheres?a)2812 b)8231 c)2734 d)4222Correct answer is option 'C'. Can you explain this answer?.
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