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Volumes

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?

Mathematics Mcqs, Volumes /
A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?

A. 3: 5
B. 2: 5
C. 3: 1
D. 1: 3

A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________? Read More »

Mathematics Mcqs, Volumes

The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?

Mathematics Mcqs, Volumes /
The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?

A. 4/3 times its radius
B. 2/3 times its radius
C. Equal to it’s radius
D. Equal to it’s diameter

The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________? Read More »

Mathematics Mcqs, Volumes

The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?

Mathematics Mcqs, Volumes /
The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is?

A. 3
B. 4
C. 5
D. 6

The number of solid spheres each of diameter 6 cm, that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm is? Read More »

Mathematics Mcqs, Volumes

A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?

Mathematics Mcqs, Volumes /
A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?

A. 284 cm2
B. 286 cm2
C. 296 cm2
D. 300 cm2
Explanation:
Volume of sheet = (27 × 8 × 1)cm3 = 216 cm3

Volume of cube formed = 216 cm3

Therefore, Edge of the cube = (6 × 6 × 6)1/3 = 6 cm

Surface area of original cuboid = 2 (27 × 8 + 8 × 1 + 27 × 1) cm2 = 502 cm2

Surface area of the cube formed = [6 × (6) 2] cm2 = 216 cm2

Therefore, Difference in areas = (502 – 216)cm2= 286 cm2

A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________? Read More »

Mathematics Mcqs, Volumes

A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?

Mathematics Mcqs, Volumes /
A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is?

A. 1200000
B. 1000000
C. 9800000
D. 7500000

A wooden box of dimensions 8m x 7m x 6m is to carry rectangular boxes of dimensions 8cm x 7cm x 6cm. The maximum number of boxes that can be carried in 1 wooden box is? Read More »

Mathematics Mcqs, Volumes

If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively?

Mathematics Mcqs, Volumes /
If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively?

A. 90, 85, 60
B. 85, 75, 60
C. 90, 75, 70
D. 90, 75,60
Explanation:
Length = 6x
Breadth = 5x
Height = 4x in cm
Therefore, 2(6x × 5x + 5x × 4x + 6x × 4x) = 33300
148×2 = 33300
=> x2 = 33300/148 = 225
=> x = 15.
Therefore, Length = 90cm,
Breadth = 75cm,
Height = 60cm
90, 75 , 60 cm

If the length, breadth and the height of a cuboid are in the ratio 6: 5: 4 and if the total surface area is 33300 cm2, then length breadth and height in cms, are respectively? Read More »

Mathematics Mcqs, Volumes