Answer Posted / priya

But still no calculus is needed, well, not really...

Now, suppose you set out to answer the question in the absence of such specific direction as to how the answer should be given. We're going to set this sphere down on an x-axis centered right down the middle of the cylindrical hole.

let x=0 be the center of the sphere,
let r be the radius of the sphere, and
let h be the radius of the cylindrical hole.

The relationship between h and r, which we'll need later, is h² + 3² = r²

Now consider this slice of the holey sphere: Plane P is perpendicular to the axis of the hole at a directed distance of "x" from the center of the sphere, -3 ≤ x ≤ 3. The slice is the intersection of plane P with the sphere and its interior, minus the cylindrical hole: an annulus, the area bounded by a pair of concentric circles.

The radius of the smaller circle is h, and the radius of the larger circle is sqrt(r²-x²)

So the area of this slice is π(r²-x²)-π(h²) = π(r²-x² -h²)

Since r²=h²+3², (remember?), the area of this slice is π(h²+3²-x²-h²) = π(3²-x²)

This is the same as the area of a slice through a sphere of radius 3 with no hole, or with a hole whose radius is zero.

Since the cross-section area at distance x from the center of the holey sphere is the same as the cross-section area at the same distance from the center of an ordinary sphere of radius 3, it follows that the volume of the holey sphere, which is the integral of all these cross-section areas, is the same as the volume of the ordinary sphere.

The answer is (4/3)π(3³) = 36π

There are 150 weights .Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260.is the number of 1kg weights?

1393

---

A hotel has two,the east wing and the west wing.some east wing rooms but not all have an ocean view(OV).All WW have a harbour view(HV).The charge for all rooms is identical, except as follows * Extra charge for all HV rooms on or above the 3rd floor * Extra charge for all OV rooms except those without balcony * Extra charge for some HV rooms on the first two floor&some EW rooms without OV but having kitchen facilities.

1906

---

there were three suspects for a robbery that happend in a bank, tommy, joy and bruceEach of them were saying that I haven't done anything and the other two has done it.police found that tommy was lying .who is the thief.

1176

---

it has 20 mixutre conatins mil and water in the ratio 3:5,replace 4 litres of mixture with 4 litres of water what is the final ratio of milk and water.

1302

---

If a worker gets late for his work he has to pay a fine of Rs 200 on the first day and the fine increases by 25 Rs per day. If he pays a total amount of Rs 9450, for how many days did he pay for?

1226

---

A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?

1160

---

one fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. if both do combinely in how much time they will finish.

1118

---

find the next term 0, 6, 24, 120, -

1092

---

There is a lucky draw held every day. If there is a winning number eg. 1876, then all possible numbers like 1867 ,1687,1768 etc are the numbers that match irrespective of the position of the digits. Thus all these numbers qualify fr the lucky draw prize. Assume there is no zero digit in any numbers. Write a program to show all the possible winning numbers if a "winningnumber" is passed as an argument to the function. i want a solution in c/c++ language

2394

---

Let's say that you have 25 horses, and you want to pick the fastest 3 horses out of those 25. In each race, only 5 horses can run at the same time because there are only 5 tracks. What is the minimum number of races required to find the 3 fastest horses without using a stopwatch?

1287

---

The price of raw materials has gone up by 15%, labour cost has also increased from 25% of the cost of raw material to 30% of the cost of raw material. By how much percentage should there be a reduction in the usage of raw materials so as to keep the cost same

1461

---

epaulet : shoulder : : ring :?

1741

---

A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and finally travels 5km towards the east, how far is he from his starting place?

1160

---

What percent of 60 is 12?

1220

---

There are coins of Rs.5, 2, 1,50p, 25p, 10p, 5p. each one has got a weight. Rs 5 coin weighs 20gms.find the minimum number of coins to get a total of 196.5gms.

1383

---