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PAGE: 468SET: ExercisesPROBLEM: 72
Please look in your text book for this problem Statement

The equation is .

(a)

Square.

Rewrite the equation is

Area of the squre is 

.

Find volume.

The volume of the square is .

Integral limits are and .

Substitute and and .

cubic units.

The volume of the square is .

(b)

Equilateral traingles.

The equilateral triangle width is .

Area of the equilateral triangle is 

Substitute in the formula

Find volume.

The volume of the square is .

Integral limits are and .

Substitute and and 

cubic units.

The volume of the equilateral triangles is .

(c)

Semicircles:

The semicircle radius is .

Area of the semicircle is 

Substitute in the formula

Find volume.

The volume of the square is

Integral limits are and .

Substitute and and .

cubic units.

The volume of the semicircles is .

(d)

Isosceles right triangles: 

The isosceles right triangles is

Area of the isosceles right triangles is .

Substitute in the formula.

Find volume.

The volume of the square is

Integral limits are and .

Substitute and and .

cubic units.

The volume of the isosceles right triangles is cubic units.

(a) The volume of the square is cubic units.

(b) The volume of the equilateral triangles is cubic units.

(c) The volume of the semicircles is cubic units.

(d) The volume of the  isosceles right triangles is cubic units.



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