Skip to content
Philoid
Browse Saved
Back to chapter
Maths
14. Differentials, Errors and Approximations
Home · Class 12 · Maths · Ref. Book · 14. Differentials, Errors and Approximations
Prev
Next
Q4 of 61 Page 14

If the percentage error in the radius of a sphere is α, find the percentage error in its volume.

given that

(if let r is a radius of a sphere)



We know that


Then, dv = (4πr2)×dr


Finally


=3×a


=3a%


More from this chapter

All 61 →
1

For the function y = x2, if x = 10 and Δx = 0.1. Find Δy.

2

If y = loge x, then find Δy when x = 3 and Δx = 0.03.

3

If the relative error in measuring the radius of a circular plane is α, find the relative error measuring its area.

5

A piece of ice is in the from of a cube melts so that the percentage error in the edge of cube is a, then find the percentage error in its volume.

Questions · 61
14. Differentials, Errors and Approximations
1 2 3 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved