1.
The radius of the cylinder and cone are equal. find its volumes ratio:
Answer: Option 'B'
radius of the cylinder = radius of the cone
πr2h = 1/3 πr2h 1 : 1/3
3 : 1
2.
The diagonal of a cube is 8√3. find its volume and surface area.
Answer: Option 'D'
√3.a = 8 √3 => a = 8
Volume = a3 => (8 × 8 × 8) Cm3 => 512 Cm3
Surface area => 6 a2 => (6 × 8 × 8) Cm2 => 384 Cm2
3.
Find the volume of cuboid 15 m length, 9 m breadth and 2 m height.
Answer: Option 'D'
Cuboid volume => l × b × h => 15 × 12 × 8 = 1440 m3
4.
If the radius of the sphere is 14 m. then its total surface area is:
Answer: Option 'A'
Sphere Total surface area = 4πr2 = 4 × 22/7 × 14 × 14 = 2464
5.
The length of box 12 Cm long, 8 Cm breadth and 9Cm height. Find the length of pencil in that box?
Answer: Option 'C'
Diagonal (d) = √l2+b2+h2
= √122+82+92
= √144+64+81
= √289 => 17 Cm
6.
If each edge of cube increased by 10%, the percentage increase in surface area is:
Answer: Option 'A'
100 × (110)/100 × (110)/100 × (110)/100 => 1331/100 = 33.1%
7.
A cylinder and a cone have the same height and same radius of base. The ratio between the volumes of the cylinder and the cone is:
Answer: Option 'A'
Volume of the cylinder = πr2h
Volume of the cone = 1/3 πr2h
(πr2h)/(1/3 πr2h) = 3/1 = 3 : 1
8.
The radius of hemi-sphere is 7 m. Find it's total surface area?
Answer: Option 'C'
otace area = 3πr2 sq.units
= 3 × 22/7 × 7 × 7
= 66 × 7 = 462 m3
9.
How many box's of length 40 Cm, width 30 Cm and height 10 Cm can be formed from a box of 6 m length, 4 m width and 2 m height.
Answer: Option 'C'
(600×400×200)/(40×30×10) = 4000
10.
The radius of a cylinder is 6 m, height 21 m. The total surface area of the cylinder is?
Answer: Option 'D'
Total surface area of the cylinder is = 2πr (r+h)
= 2 × 22/7 × 6(6+8)
= 2 × 22/7 × 6(14) = 44 × 12 = 528 m2
11.
The radius of hemi sphere 7 m, find its volume?
Answer: Option ''
Hemi-sphere volume (V) = 2/3 πr3
= 2/3 × 22/7 × 7 × 7 × 7
= (44 × 49)/3 = 616/3 = 205 1/3 m3 cubic units
12.
If each edge of cube increased by 20%, the percentage increase in
Answer: Option 'A'
100 × (120)/100 × (120)/100 = 144 => 44%
13.
The lateeral surface area of cuboid length 12 m, breadth 8 m and height 6m.
Answer: Option 'D'
Cuboid lateral surface = 2h(l+b)
= 2 × 6 (20) = 240 m2
14.
The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?
Answer: Option 'A'
Cube volume = a3 cubic units
Surface area = 6 a2 sq.units
a3 = 6 a2
a = 6 m
15.
The side of a cube is 8 m, Find the voiume?
Answer: Option 'C'
Cube Volume = a3
a3 = 83 = 512 m3
16.
The height of a cylinder is 60 Cm and the diameter of its base is 5 Cm. The total surface area of the cylinder is :
Answer: Option 'C'
Given h = 60 Cm and r = 5/2 Cm
Total surface area = 2πrh + 2&pir2
= 2πr(h+r)
= [2 × 22/7 × 5/2 × (60 + 5/2)] Cm2
= [ 44/7 × 5/2 × ( (120 + 5)/2 ) ] Cm2
= 22/7 × 5 × 125/2 Cm2
= (55 × 125)/7 Cm2
= 6875/7 Cm2
= 982.14 Cm2
17.
The radius of a cylinder is 10 m, height 14 m. The volume of the cylinder is:
Answer: Option 'C'
Cylinder volume = πr2h
= 22/7 × 10 × 10 × 14
= 4400 m3
18.
The side of a cube is 15 m, find it's surface area?
Answer: Option 'A'
Surface area = 6 a2 sq. units
6 a2 = 6 × 225 = 1350 m2
19.
The radius of a cone is 8 m, height 6 m. Find the slant height?
Answer: Option 'B'
Answer: Option 'B'
Cone slant height (l) = √r2+h2
= √64+36 = 10 m.
20.
The height of cylinder is 14 Cm and its diameter is 10 Cm. The volume of the cylinder is:
Answer: Option 'B'
h = 14 Cm and r = 5 Cm
Cylinder volume = πr2h = (22/7 × 5 × 5 × 14) Cm3 = 1100 Cm3