Answer / 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

Answer / shyam

volume of a sphere is 4/3 * pi * r^3
by drilling a hole 6 inches long the volume of the sphere is
not affected bcos the hole is a 1 dimension quantity..(say a
straight line) n so it does not have any value w.r.t volume...

hence the volume of the sphere does not change..

Answer / udit

volume of sphere will not be affected, because drilling is
done through the hole of sphere.

Find the values of each of the alphabets. N O O N S O O N + M O O N ---------- J U N E

2 Answers   IBM, Infosys,

---

how to create the alarm using sql queries.In the sense i need to make the computer to produce beep sound for each 1 minute.(hint: by chr(7) we can produce the beep sound)

0 Answers  

---

Current/most recent employer (Please state full names and address including Country and post code) Current Position Held When would you be available to start work? ONLINE INTERVIEW [INSTRUCTIONS: Give brief answers to all the under listed questions] QUESTIONS ANSWER SPACE 1) What are your years of experience? 2) How do you approach a technical problem? Give an example. How long do you think it would be before you will make a significant contribution to the team/company?

0 Answers  

---

what is ETP

1 Answers   Bajaj, Bajaj Hindusthan,

---

what is the syllabus for group-1 and upsc exam for ias also specify the age limit for both appsc and upsc exams. is there any age relaxation for divorced women.

0 Answers  

---

Pls send me which book to follow for SBI-clerical exam 2008

0 Answers  

---

proof of volume of cone=volume of cylinder/3

1 Answers  

---

A sequence is given. You should find out error & write correct answer.2,3 6,7 14,15 29,46

6 Answers  

---

OUT OF 111 MARBLES ONE IS NOT OF SAME WEIGHT. HOW TO FIND AND GIVE THE MIN. NO OF STEPS

3 Answers   Satyam,

---

Rajini says ravismother is the only daughter of his mother how is rajini related to ravi

7 Answers   HCL,

---

Hi Friends, I am Nibeditha and new to this site but really appreciated the way ppl help each other here. My question is ..I have around 1.5 yrs of testing exp and got a call from NDS on Monday, bangalore . Can anybody plz provide me the apptitude questions asked in the written test? I am weak in apptitude :(......plzzzz help...waiting for you reply at the earliest

0 Answers  

---

All birds are animals. All animals are four legged. Implications a. All animals which are four legged are birds. b. All birds are four legged c. Some birds are four legged d. Some birds are animals but not four legged.

0 Answers   Amdocs,

---