Dev was doing an experiment to find the radius r of a sphere.For this he took a cylindrical container with radius R = 7 cm and height 10 cm. He filled the container almost half by water as shown in the left figure. Now he dropped the yellow sphere in the container. Now he observed as shown in the right figure the water level in the container raised from A to B equal to 3.40 cmi.
1. What is the approximate radius of the sphere?
Options:
a. 7 cm
b. 5 cm
c. 4 cm
d. 3 cm
2. What is the volume of the cylinder?
a. 700 `"cm"^3`
b. 500 cm³
c. 1540 `"cm"^3`
d. 2000 `"cm"^3`
3. What is the volume of the sphere?
a. 700 `"cm"^3`
b. 600 `"cm"^3`
c. 500 `"cm"^3`
d. 523.8 `"cm"^3`
4. How many litres water can be filled in the full container?( Take 1 litre=1000 `"cm"^3`)
a. 1.50
b. 1.44
c. 1.54
d. 2
5. What is the surface area of the sphere?
a. 314.3 `"m"^2`
b. 300 `"m"^2`
c. 400 `"m"^2`
d. 350 `"m"^2`
1. Answer: Correct answer is option B. Explanation: 5 cm is the approximate radius of the sphere.
2. Answer: Correct answer is option C. Explanation: 1540 cm^3 is the volume of the cylinder.
3. Answer: Correct answer is option D. Explanation: 523.8 cm^3 is the volume of the sphere.
4. Answer: Correct answer is option C. Explanation: 1.54 litres water can be filled in the full container.
5. Answer: Correct answer is option A. Explanation: 314.3 m^2 is the surface area of the sphere.
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