Two students are asked to measure the dimensions of the same cylindrical bottle

Question

Two students are asked to measure the dimensions of the same cylindrical bottle in order to see if it will hold 75 cm^3 of water. Each is able to measure the dimensions of the bottle to the nearest 0.1 cm. Despite this, the first student reports that the bottle is 3 cm in diameter and 10 cm tall. However, the second student reports that the same bottle is 3.2 cm in diameter and 10.5 cm tall. To calculate the volume of the bottle, use the formula: v= pi*r^2*h. Be sure to have correct sig figs in final answer.


a) What volume will the first student calculate for this bottle?


b) What volume will the second student calculate for this bottle?


c) Will this bottle hold the 75 cm^3 of water?

Explanation / Answer

i) 235.62 cm3

ii) 277.1 cm3

iii) it holds 75 cm3 ofwater

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