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.

Wind flows 160 miles in 330 min, for travelling 80 miles how much time does it require?

0 Answers   Accenture,

---

what is topic on pz cussons essay writing?

0 Answers  

---

a biology class has 12 boys and 18 girls what fraction of the class are boys

2 Answers   Financial Technologies,

---

Find the missing number in this series? 8 2 14 6 11 ? 14 6 18 12

0 Answers   3i Infotech,

---

three friends a,b,c run around a circular track of length 120m at a speed of 5,7,15m/sec respectively starting simultaneously from the same point in the same direction .how often they three will meet????

5 Answers  

---

---

how to retrieve the recent record from the database using sql query. suppose the table has the columns only ename,job,salary columns

0 Answers  

---

Five people A ,B ,C ,D ,E are related to each other. Four of them make one true statement each as follows. (i) B is my father's brother. (ii) E is my mother-in-law. (iii)C is my son-in-law's brother (iv)A is my brother's wife.

1 Answers   Infosys,

---

what is an easy way to remove above problem.

2 Answers  

---

If macros are disabled in a workbook, what do we do to enable them?

2 Answers   eClerx,

---

why do we select u and what value added services that u will add to our company?

3 Answers   Automation, Ranbaxy,

---

Suppose that 3% of births rise to twins.What %age of the population is a twin?

2 Answers  

---

BOTH WHICH TEAM IN FINAL IPL 2009 & WHO IS WIN

7 Answers  

---