A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estimation in measuring the volume if the radius (r) and height (h) are measured as 2.02 cm and 2.98 cm respectively.

Q: The circumference of a sphere was measured to be 88 cm with a possible error of 0.5 cm. Use linear…

A: Solution :-

Q: The standard u.s A evaporation land on inside diameter of 47.5 inches and depth of 10.0 inch, if…

A: given that inside diameter is 47.5 inches radius,   R=47.52=23.75 inches  depth is H=10.0 inches…

Q: A farmer wants to repaint a thin, cylindrical water tank on their property. He only needs to paint…

A:

Q: The circumference of a sphere was measured to be 85 cm with a possible error of 0.5 cm. Use linear…

A: Given measured circumference was 85 with a possible error of 0.5cm and we have to calculate maximum…

Q: the weight W of a steel ball bearing varies directly with the cube of the bearing's radius r…

A: Substitution is a way of linear equations in which we calculate a variable value in terms of other…

Q: a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint…

A: the problem concerns an application of differentials

Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone…

A: GIVEN: radius of inverted circular cone = 10 CM Height = 15 cm

Q: The Spicee Pepa’Roni Pizza Company serves large circular pizzas with a diameter of 18 inches. Use…

A: Diameter of circular pizza is 18 inches and the diameter has a measurement error of +- 0.050…

Q: An ice cube melts in the sun, causing it to shrink. Use a linear approximation to estimate the…

A: The length of the side of the ice cube changes from 1 inch to 0.9 inch The decrease in the side of…