The radius of a sphere was measured to be 30 cm with a possible error of 0.5 cm.(a) Use differentials to estimate the maximum error in the calculated surface area.

The radius of a sphere was measured and found to be 18 cm with a possible error in measurement of at most 0.05 cm. What is the maximum error in using this value of the radius to compute the volume of the sphere?

A sphere is to be designed with a radius of 72 in.Use differentials to estimate the maximum error when measuring the volume of the sphere if the possible error in measuring the radius is 0.5 in. (Hint: The formula for the volume of a sphere is V left parenthesis r right parenthesis equals 4 over 3 straight pi r cubed.)A. 452.39 space i n cubedB. 16 comma 286.02 space i n cubedC. 32 comma 572.03 space i n cubedD. 65 comma 144.07 space i n cubed

If the radius of a sphere is measured as 9 cm with an error of 0.03 cm, then find the approximating error in calculating its volume.2.46πcm38.62πcm39.72πcm37.6πcm3

Diameter of the sphere is measured as 20.0 ± 0.1 mm. The surface area of the sphere is [take π = 3]

he radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2(b) What is the relative error? (Round your answer to four decimal places.)What is the percentage error? (Round your answer to two decimal places.)