# Please Socratic users help me with this final question?

##### 1 Answer

Feb 20, 2018

#### Answer:

#### Explanation:

#"the volume (V) of a cone is calculated using "#

#•color(white)(x)V=1/3pir^2h#

#"where r is the radius of the base and h the height"#

#"we require to find r the radius"#

#"using the formula for the circumference (C) of a circle"#

#•color(white)(x)C=2pir#

#rArr2xx3.14xxr=56.52#

#rArr6.28r=56.52#

#"divide both sides by "6.28#

#(cancel(6.28) r)/cancel(6.28)=56.52/6.28rArrr=9#

#rArrV=(3.14xx81xx5)/3~~423.9toD#