Application of Integration

Application of Integration - Set 2

Report 1 / 5

Calculate the volume generated when the shaded region in the diagram is rotated \(360\degree\) through \(y-\)axis.

(A)		\(\dfrac{1\,024}{5} \pi \text{ unit}^3\)

(B)		\(\dfrac{2\,024}{5} \pi \text{ unit}^3\)

(C)		\(\dfrac{3\,024}{5} \pi \text{ unit}^3\)

(D)		\(\dfrac{4\,024}{5} \pi \text{ unit}^3\)

Difficulty Level: Hard

Application of Integration - Set 2

Report 2 / 5

Given that volume of solid generated when the shaded region in the diagram is rotated \(360\degree\) through the \(x-\)axis is

\(\dfrac{4\,280}{3} \pi \text{ unit}^3\).

Find the value of \(k\).

(Tips: Use the try and error method)

(A)		\(2\)

(B)		\(3\)

(C)		\(4\)

(D)		\(5\)

Difficulty Level: Hard

Application of Integration - Set 2

Report 3 / 5

Find the volume generated when the shaded region in the diagram rotated \(360\degree\) through the \(x-\)axis.

(A)		\(\dfrac{376}{5} \pi \text{ unit}^3\)

(B)		\(\dfrac{476}{5} \pi \text{ unit}^3\)

(C)		\(\dfrac{576}{5} \pi \text{ unit}^3\)

(D)		\(\dfrac{676}{5} \pi \text{ unit}^3\)

Difficulty Level: Hard

Application of Integration - Set 2

Report 4 / 5

Given that the volume of solid generated when the shaded region in the diagram is rotated \(360\degree\) through the \(x-\)axis is \(\dfrac{6 \,085}{42} \pi \text{ unit}^3\).

Find the value of \(p\).

(Tips: Use the try and error method)

(A)		\(6\)

(B)		\(7\)

(C)		\(8\)

(D)		\(9\)

Difficulty Level: Hard

Application of Integration - Set 2

Report 5 / 5

Given that the volume of solid generated when the shaded region in the diagram is rotated \(360\degree\) through the \(x-\)axis is \(\dfrac{665}{3} \pi \text{ unit}^3\).

Find the value of \(p\).

(Tips: Use the try and error method)

(A)		\(3\)

(B)		\(4\)

(C)		\(5\)

(D)		\(6\)

Difficulty Level: Hard