# Quantitative Aptitude: Mensuration Questions Set 3

Mensuration Questions SBI PO, NIACL, IBPS PO, NICl, LIC, Dena Bank PO PGDBF, BOI, Bank of Baroda and other competitive exams

- A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edge of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volumes of cube is 216 cm
^{3}, what is the volume of the cone (approximately)?

A) 56 cm^{3}

B) 60 cm^{3}

C) 46 cm^{3}

D) 50 cm^{3}

E) None of these

- The diagram shows a section of a rocket firework. If this section can be completely filled with gunpowder what is the volume of gunpowder required?

A) 1882 cm^{3}

B) 1782 cm^{3}

C) 1982 cm^{3}

D) 1682 cm^{3}

E) None of these

- If a square, circle and rectangle has same perimeter then which one of them has the maximum area?

A) Square

B) Circle

C) Rectangle

D) All have equal area

E) Cannot be determined

- A cylinder has some water at height 20 cm. If a sphere of radius 6 cm is poured into it then find the rise in height of water if the radius of cylinder is 8 cm.

A) 3.5 cm

B) 9.5 cm

C) 4.5 cm

D) 5.5 cm

E) None of these

- If the base of a pyramid is square and its side is 4√2 cm and slant height of pyramid is 5 cm, find the volume of pyramid.

A) 48 cm^{3 }B) 16 cm^{3 }C) 24 cm^{3 }D) 32 cm^{3 }E) None of these

- A sphere of 5 cm radius is melted and small sphere of radius 1 cm is made from it. Find the number of sphere that can be made from it.

A) 25

B) 125

C) 50

D) 100

E) None of these

- A person wants to make a cylindrical box which is open from the top. If the height of that box is 10 cm and radius is 7 cm find the area of sheet which is required to make it.

A) 880 cm^{2}

B) 1188 cm^{2}

C) 594 cm^{2}

D) 440 cm^{2}

E) None of these

- A square park has a 2 m wide cross road in middle of it. If the side of park is 100 m then find the remaining area of the park.

A) 9650 m^{2}

B) 9596 m^{2}

C) 9600 m^{2}

D) 9604 m^{2}

E) None of these

- In a right circular cone the radius of its base is 6 cm and its height is 14 cm. A cross section is made through the mid-point of the height parallel to the base. The volume of the lower portion is?

A) 528 cm^{3 }B) 366 cm^{3 }C) 498 cm^{3 }D) 462 cm^{3 }E) None of these

- If radius of cone decrease by 50% and height increase by 20%. Then find the percentage change in the volume.A) 70% decrease

B) 70% increase

C) 40% decrease

D) 40% increase

E) 20% increase