The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.01 inch. Use differentials to approximate the maximum possible error in calculating the following:

(a) the possible propagated error in computing the volume of the sphere.
(b) the possible propagated error in computing the surface area of the sphere.

a) , b)

Explanation:

a) The volume of the sphere is:

The total differential of the volume of the sphere is:

b) The surface area of the sphere is:

The total differential of the surface area of the sphere is:

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.