Can you help me answer these related questions asap please.

Your niece is visiting you, and you are serving her ice cream in a conical glass (conical shape whose bottom is the tip of the cone). The diameter of the opening is 3 inches, and the cone is 6 inches tall. You plan to fill the cone part way to a height h. Your niece requires that you smooth the ice cream so that it lies perfectly flat. Find a formula for the height of ice cream as a function of the volume V. (You may wish to look up the formula for the volume of a cone. Note that you should enter your formula in terms of 7r by typing pi and treating it as a variable. Type air for multiplication. Type I for division. Type /\\ for exponents.) h: Compute derivative 1 point possible [graded] Calculate h' (V). (Type pi for at. Type a: for multiplication. Type 1' for division. Type A for exponents. Use parentheses ( ) to denote order of operations.) as (V) = Demands 2 points possible {graded} Your niece is very persnickety, and requires that you fill the dish to a height kg = 3111. She allows for a margin of error |Ah| S 0.01. In principle it is possible to satisfy her wishes because the cone has a height of 6 in. Unfortunately, there are no markings on the cone. However, she plans to measure the height using a calibrated laser after you serve it. Your only tool is a collection of scoops that are capable of measuring volumes within an error of IAVI S 0.1. Find the exact volume VI} in terms of at of ice cream that you need to serve your niece. Then approximate the error in the height measurement Ah in terms of the volume measurement error AV. (You can enter decimals numerical values with 3 decimal places, or type pi to denote 7r. Use a: for multiplication, lr'for division, and A for exponents.) Vb: Ah 22 Meeting Expectations 1 point possible [graded] Is the error such that you can guarantee that your niece will be happy with the amount of ice cream you serve her? 0 Yes. O No. 0 I don't know