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# 5 Practice Problem for AFCAT CDS NDA Exam: Topic Mensuration

Mensuration is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters. Some important mensuration formulas are: 1. Area of rectangle (A)...

MensurationÂ is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters.

Some importantÂ mensuration formulasÂ are:

1. Area of rectangle (A) = length(l) Ã— Breath(b)

$A = l \times b$

2. Perimeter of a rectangle (P) = 2 Ã— (Length(l) + Breath(b))

$P = 2 \times(l + b)$

3. Area of a square (A) = Length (l) Ã— Length (l)

$A = l \times l$

4. Perimeter of a square (P) = 4 Ã— Length (l)

$P = 4 \times l$

5. Area of a parallelogram(A) = Length(l) Ã— Height(h)

$A = l \times h$

6. Perimeter of a parallelogram (P) = 2 Ã— (length(l) + Breadth(b))

$P = 2 \times (l + b)$

In this article we will shareÂ 5 Practice Problem for AFCAT CDS NDA Exam: Topic Mensuration.

## 5 Practice Problem for AFCAT CDS NDA Exam: Topic Mensuration

Q.Â The volume of the material of a hemispherical shell with outer and inner radii 9 cm and 7 cm respectively is approximately

• 808 cu cm
• 800 cu cm
• 816 cu cm
• 824 cu cm

Q.Â What is the quantity of cloth required to roll up to form a right circular tent whose base is of radius 12m and height 5 cm?

• 40Ï€ /3 sq. m
• 60Ï€ sq. m
• 78Ï€ sq. m
• 156Ï€ sq. m

Q.Â A swimming pool 70 m long, 44 m wide and 3 m deep is filled by water flowing from a pipe at a rate of 30800 cubic cm per second. The time taken to fill the swimming pool is

• 71/2 h
• 80 h
• 250/3 h
• None of these

Q.Â What is the volume of the largest sphere that can be carved out of a cube of edge 3 cm?

• 9Ï€ cu. cm
• 6Ï€ cu. cm
• 4.5Ï€ cu. cm
• 3Ï€ cu. cm

Q.Â If the ratio of the diameter of two spheres is 3:5, then what is the ratio of their surface areas?

• 9: 25
• 9:10
• 3:5
• 27:125