The base of a solid is bounded by y=√(x), y=0, x=2, and x=6. Its cross-sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid in cubic units.

8pi units³

Step-by-step explanation:

Volume of the solid

= pi × integral of y².dx

= pi × integral of x

pi × [x²/2]

Limits are x = 2 and x = 6

pi × [6²/2 - 2²/2]

pi × (18 - 2)

= 16pi units³

Since the solid is only above the x-axis half of this volume would be generated:

½ × 16pi = 8pi units³

area = 16 cm²

Step-by-step explanation:

area of rectangle = 3x4 = 12

area of triangle = 2x4x0.5 = 4

12 + 4 = 16 cm²

another way is :

1/2(b1+b2)(h) = area

1/2(3+5)(4) = 16 cm²