A guitar tuning peg is in the shape of a cylinder with a hemisphere at one end The cylinder is 20mm long and the whole peg is made from 800mm 3 of plastic The base radius of the cylinder is rmm a Show that r 3 30r 2 1200 0 b Show that the value of r is between 3mm and 4mm ...

a We can start by expressing the volume of the tuning peg in terms of r the base radius of the ...

A guitar tuning peg is in the shape of a cylinder with a hemisphere at one end.

Question:

A guitar tuning peg is in the shape of a cylinder with a hemisphere at one end. The cylinder is 20mm long and the whole peg is made from 800mm³ of plastic.
The base radius of the cylinder is rmm.
a. Show that πr³ + 30πr² − 1200 = 0.
b. Show that the value of r is between 3mm and 4mm.

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