A cylindrical rod of iron, whose height is equal to its radius, is melted and ca

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Question
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

Correct Answer

6

Explanation

Volume of rod = ${?r}^{2} h$ = ${?r}^{2} � r$ = ${?r}^{3}$

Volume of one spherical ball =r/2

Volume of the spherical ball = $\frac{\frac{4}{3} {?r}^{3}}{8}$

Number of balls=Volumeof rod/volumeof one ball

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More questions

1.
The median for the data 2, 4, 6, 8, 10, 12, 14 is
Options
A. 6
B. 8
C. 9.5
D. 10

Discuss

Correct Answer: 8

Explanation:

4th observation i.e., 8 is the median.

2.
The value of 47 / 10000 is?
Options
A. .0047
B. .0470
C. .00047
D. .000047

Discuss

Correct Answer: .0047

Explanation:

47/10000 = .0047

3. If 4x = 18y, then the value of ( x/y - 1) is
Options
A. 1 3
B. 7 2
C. 2 3
D. 3 2

Discuss

Correct Answer: 7 2

4.
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options
A. 144
B. 158
C. 159
D. 166

Discuss

Correct Answer: 144

Explanation:

5.
.02 =(......?.....)%
Options
A. 20
B. 2
C. .02
D. .2

Discuss

Correct Answer: 2

Explanation:

.02 =(2/100) x 100% =2%

6.
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options
A. 45
B. 55
C. 60
D. 72

Discuss

Correct Answer: 60

Explanation:

7.
2?63 / 11 =233
Options
A. 4
B. 3
C. 6
D. 5

Discuss

Correct Answer: 5

Explanation:

Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.

8.
When 121012 is divided by 12, the remainder is
Options
A. 0
B. 2
C. 3
D. 4

Discuss

Correct Answer: 4

Explanation:

121012 = 12 x 10084 + 4
? remainder = 4

9.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

Discuss

Correct Answer: 18 days

Explanation:

We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days

10.
750.0003 � 19.999 =?
Options
A. 49
B. 18
C. 22
D. 38

Discuss

Correct Answer: 38

Explanation:

? = 750.0003 � 19.999
? ? ? 750 � 20
? ? ? 375 ? 38

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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.

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