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
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Correct Answer: 91.98 cm3
Solution : Diameter of the sphere $=$ Edge of the cube ⇒ $2 ×$ radius of sphere $= 5.6$ cm ⇒ The radius of sphere, $r$ $= \frac{5.6}{2} = 2.8$ cm The volume of the sphere $= \frac{4}{3} × π × r^3$ $=\frac{88}{21} × 21.952=91.98$ cm$^3$ Hence, the correct answer is 91.98 cm$^3$.
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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 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
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
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Option 1: 12 cm
Option 2: 18 cm
Option 3: 16 cm
Option 4: 14 cm
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