Discussion
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- Question
If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume
Options- A. 33.5%
- B. 33.1%
- C. 32.1%
- D. 53.1%
- Correct Answer
- 33.1%
Explanationv1=
v2=
% Increase in volume = (V2-V1) / (V2*100)
- 1. Which measurement unit represents volume?
Options- A. milliliter
- B. Cubic centimeter
- C. Meter cube
- D. All of the above Discuss
- 2. The height of the wall is 6 times its width and lenght of the wall is 7 times its height .if the volume of the wall be 16128 cu.m.its width is
Options- A. 4m
- B. 5m
- C. 6m
- D. 7m Discuss
- 3. A rectangular box measures internally 1.6m long, 1m broad and 60cm deep. The number of cubical box each of edge 20cm that can be packed inside the box is:
Options- A. 30
- B. 60
- C. 90
- D. 120 Discuss
- 4. A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 5. Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5m x 1.25 m @ 20 kmph . In what time (in minutes) will the water rise by 2 meters?
Options- A. 92min
- B. 93min
- C. 95min
- D. 96min Discuss
- 6. A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ?
Options- A. 14.69 cm
- B. 29.39 cm
- C. 18.65 cm
- D. 22.21 cm Discuss
- 7. Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.
Options- A. 1:2
- B. 1;3
- C. 1:4
- D. 1:5 Discuss
- 8. The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.
Options- A. 50%
- B. 40%
- C. 30%
- D. 20% Discuss
- 9. A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ?
Options- A. 175
- B. 345
- C. 265
- D. 300 Discuss
- 10. How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?
Options- A. 9216
- B. 10246
- C. 12345
- D. 7527 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: All of the above
Correct Answer: 4m
Explanation:
Let width = x
Then, height = 6x and length = 42x
42x * 6x * x = 16128
x = 4
Correct Answer: 120
Explanation:
Number of blocks = =120
Correct Answer: 6
Explanation:
Volume of rod = = =
Volume of one spherical ball =r/2
Volume of the spherical ball =
Number of balls=Volumeof rod/volumeof one ball
Correct Answer: 96min
Explanation:
Volume required in the tank = (200 x 150 x 2) cu.m = 60000 cu.m
Length of water column flown in1 min =(20 x 1000)/60 m =1000/3 m
Volume flown per minute = 1.5 x 1.25 x (1000/3) cu.m= 625 cu.m.
Required time = (60000/625)min = 96min
Correct Answer: 29.39 cm
Explanation:
Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.
As speed is same, area of cross sections should be same.
Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12
i.e
Here R = R and R1 = 12/2 = 6
R = 14.696
=> D = X = 14.696 * 2 = 29.3938 cm.
Correct Answer: 1:2
Explanation:
Correct Answer: 50%
Explanation:
Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ?h? be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%
Correct Answer: 300
Explanation:
Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.
Now, n = 25 x 42 x 60 / 7 x 6 x 5
= 63000 / 210
= 300.
Therefore, 300 books can be in that box.
Correct Answer: 9216
Explanation:
It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.
That is 9,216 of those squares.
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