Question : The length of the side of a cube is 1.4 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 1.44 cm3
Option 2: 3.26 cm3
Option 3: 2.66 cm3
Option 4: 5.64 cm3
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Correct Answer: 1.44 cm3
Solution : Length of side of cube = 1.4 cm So, the diameter of the largest sphere = 1.4 cm The radius of the same, $r$ = 0.7 cm Volume of sphere = $\frac{4\pi r^3}{3}$ = $\frac{4\pi (0.7)^3}{3}$ = 1.44 cm3 Hence, the correct answer is 1.44 cm3.
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Question : The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 11.50 cm3
Option 2: 1.15 cm3
Option 3: 11.55 cm3
Option 4: 115 cm3
Question : The length of the side of a cube is 4.2 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 26.40 cm3
Option 2: 20.50 cm3
Option 3: 38.80 cm3
Option 4: 48.60 cm3
Question : The length of the side of a cube is 5.6 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 91.98 cm3
Option 2: 99.96 cm3
Option 3: 96.98 cm3
Option 4: 90.69 cm3
Question : What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm?$\left(\pi=\frac{22}{7}\right)$
Option 1: 3851 cm3
Option 2: 6858 cm3
Option 3: 4851 cm3
Option 4: 5821 cm3
Question : If the volume of a cube is 4096 cm3, then what is the length of the side of the cube?
Option 1: 12 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 14 cm
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