From a prism of square base of side length 7 cm and height 10 cm, a cy

1.	From a prism of square base of side length 7 cm and height 10 cm, a cylinder of diameter 4.2 cm and height 10 cm is carved out. Find the volume of the remaining solid?1. 376.4 cm32. 251.4 cm33. 313.4 cm34. 351.4 cm3
Answer» Correct Answer - Option 4 : 351.4 cm³ Given: Base of prism is square Side of square base = 7 cm Height of prism = 10 cm Diameter of cylinder = 4.2 cm Radius of cylinder = 4.2/2 = 2.1 cm Height of cylinder = 10 cm Concept: The volume of the remaining solid is the difference of the volume of the prism and the cylinder which is carved out of the prism. Formula used: Volume of Prism = (Area of base) × Height of prism Volume of Cylinder = πr²h Area of square = Side × side Calculation: ∵ Volume of remaining solid = Volume of prism – Volume of cylinder = (7 × 7 × 10) – [(22/7) × 2.1 × 2.1 × 10] = 490 – 138.6 = 351.4 cm³

From a prism of square base of side length 7 cm and height 10 cm, a cylinder of diameter 4.2 cm and height 10 cm is carved out. Find the volume of the remaining solid?1. 376.4 cm32. 251.4 cm33. 313.4 cm34. 351.4 cm3

Answer» Correct Answer - Option 4 : 351.4 cm³

Given:

Base of prism is square

Side of square base = 7 cm

Height of prism = 10 cm

Diameter of cylinder = 4.2 cm

Radius of cylinder = 4.2/2 = 2.1 cm

Height of cylinder = 10 cm

Concept:

The volume of the remaining solid is the difference of the volume of the prism and the cylinder which is carved out of the prism.

Formula used:

Volume of Prism = (Area of base) × Height of prism

Volume of Cylinder = πr²h

Area of square = Side × side

Calculation:

∵ Volume of remaining solid = Volume of prism – Volume of cylinder

= (7 × 7 × 10) – [(22/7) × 2.1 × 2.1 × 10]

= 490 – 138.6

= 351.4 cm³

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