Arjun has a cuboidal block of wood 28 cm by 10 cm by 3.5 cm. He scoops out four equal hemispherical holes of radius 3.5 cm in a row along the top face; each hole is 3.5 cm deep, the full thickness of the block. The four holes together remove 359.33 cm^3 of wood. What volume of wood is left (in cm^3)?

Question

Accepted Answer

620.67. Cuboid = 28 × 10 × 3.5 = 980 cm^3. Wood removed = 359.33 cm^3. Remaining = 980 − 359.33 = 620.67 cm^3. (Adding instead of subtracting gives 1339.33.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice

Arjun has a cuboidal block of wood 28 cm by 10 cm by 3.5 cm. He scoops out four equal hemispherical holes of radius 3.5 cm in a row along the top face; each hole is 3.5 cm deep, the full thickness of the block.The four holes together remove 359.33cm3 of wood. What volume of wood is left (in cm3)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Volume of Combined Solids practice