Home
Class 12
MATHS
A coat of paint of thickness 0.2 cm is a...

A coat of paint of thickness `0.2` cm is applied to the faces of a cube whose edge is 10 cm. Use the differentials to find approximately how many cubic centimeters of paint is used to paint this cube. Also calculate the exact amount of pain used to pain this cube.

Text Solution

Verified by Experts

The correct Answer is:
`=1061.2 - 1000=61.2 cm ^(3)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.3|8 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.4|18 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise EXERCISE 8.1|14 Videos
  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos
  • DISCRETE MATHEMATICS

    PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos

Similar Questions

Explore conceptually related problems

Find the surface area of a cube whose edge is 2.1 cm

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm .Use differentials to estimate the maximum possible error in computing (i) the volume of the cube and (ii) the surface area of cube .

Let us assume that the the the shape of a soap bubble is a sphere . Use linear approximation to approximate the increase in the surface area of a soap bubble as its radius increases from 5 cm to 5.2 cm also calculate the percentage error.

An electric heater is used in a room of total wall area 137m^(2) to maintain a temperature of 20^(@)C inside it, when the outside temperature is -10^(@)C .The walls have three different layers of materials. The innermost layer is of wood of thickness 2.5cm, the middle layer is of cement of thickness 1.0cm and the outermost layer is of brick of thickness 25.0cm. Find the power of the electric heater. Assume that there is no heat loss through the floor and the celling. The thermal conductivities of wood, cement and brick are 0.125Wm^(-1)C^(-1) , 1.5Wm^(-1)C^(-1) . and 1.0Wm^(-1)C^(-1) respectively.

A plate of area 10 cm^2 is to be electroplated with copper (density 9000 kg m^(-3) to a thickness of 10 micrometres on both sides, using a cell of 12 V . Calculate the energy spend by the cell in the process of deposition. If this energy is used to heat 100 g of water, calculate the rise in the temperature of the water. ECE of copper = 3 xx 10^(-7) kg C^(-1) and specific heat capacity of water = 4200 J kg^(-1) K^(-1) .

How many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm and each ball being 4 cm in diameter.

A spherical balloon increase its surface area as the radius of the balloon increases from 10 cm to[ 10.4 cm. Use linear approximation to approximate the increase in the surface area. Also find the percentage error.

A parallel - plate capacitor having plate area 20cm^2 and seperation between the plates 1.00 mm is connected to a battery of 12.0V . The plates are pulled apart to increase the separation to 2.0mm . (a ) calculate the charge flown through the circuit during the process . (b ) How much energy is absorbed by the battery during the process ? (c ) calculate the stored energy in the electric field before and after the process . (d ) Using the expression for the force between the plates , find the work done by the person polling the plates apart . (e ) Show and justify that no heat is produced during this transfer of charge as the separation is increased.

PREMIERS PUBLISHERS-DIFFERENTIALS AND PARTIAL DERIVATIVES-EXERCISE 8.2
  1. Find differential dy for y=((1-2x)^(3))/(3-4x).

    Text Solution

    |

  2. Find differential dy for each of the function : y =3 (3 + sin (2x ))...

    Text Solution

    |

  3. Find differential dy for each of the function : y =( e ^(x^2-5x +7))...

    Text Solution

    |

  4. Find df for f(x) = x^(2)+3x and evalaute it for (i) x=2 and dx = 0.1...

    Text Solution

    |

  5. Find df for f(x) = x^(2)+3x and evalaute it for (i) x=2 and dx = 0.1...

    Text Solution

    |

  6. Find Delta f and df for the function f for the indicated values of x, ...

    Text Solution

    |

  7. Find Delta f and df for the function f for the indicated values of x, ...

    Text Solution

    |

  8. Assuming log(10)e=0.4343, find an approximate value of log(10) 1003.

    Text Solution

    |

  9. The trunk of a tree has diameter 30 cm. During the following year, the...

    Text Solution

    |

  10. The trunk of a tree has diameter 30 cm. During the following year, the...

    Text Solution

    |

  11. An egg of a particular bird is very nearly spherical. If the radius to...

    Text Solution

    |

  12. Assume that the cross section of the artery of human is circular. A dr...

    Text Solution

    |

  13. In a newly developed city, it is estimated that the voting population ...

    Text Solution

    |

  14. The relation between the number of words y a person learns in x hours ...

    Text Solution

    |

  15. The relation between the number of words y a person learns in x hours ...

    Text Solution

    |

  16. A circular plate expands uniformly under the influence of heat. If it'...

    Text Solution

    |

  17. A coat of paint of thickness 0.2 cm is applied to the faces of a cube ...

    Text Solution

    |