3 years ago

A cone has a volume of 226.08 cubic millimeters and a height of 6 millimeters. What is its

Mathematics

2 answers:

dezoksy [38]3 years ago

6 0

Answer:

r≈5.36656314

Step-by-step explanation:

Since A=πr(r+ $\sqrt{h^2+r^2}$ ) so we get that 226.08/pi≈72 or 226.08/3.14=72 we then plug it in to get 72=r(r+ $\sqrt{36+r^2}$ ) so we get r≈5.36656314

scZoUnD [109]3 years ago

3 0

Answer:

r = 6 mm

Step-by-step explanation:

h = 6 mm

Volume of cone = 226.08 cubic mm

$\frac{1}{3}*\pi *r^{2}*h = 226.08\\\\\frac{1}{3}* 3.14 *r^{2}*6 = 226.08\\\\3.14*r^{2}*2=226.08\\\\r^{2}=\frac{226.08}{2*3.14}\\\\r^{2}=36\\r=\sqrt{36}\\$