Question 1149726
A solid consists of a cone attached to a hemisphere.
 Calculate the volume of the solid if the diameter of the hemisphere is 3cm and the overall height of the object is 7cm.
:
The radius of the cone & the height of the hemisphere: 3/2 = 1.5 cm
The height of the cone: 7 - 1.5 = 5.5 cm
:
Volume = volume of cone + volume of hemisphere:
V = ({{{1/3}}}*{{{pi*1.5^2*5.5}}}) + ({{{1/2}}}*{{{4/3}}}*{{{pi*1.5^3}}})
V = ({{{1/3}}}*{{{pi*1.5^2*5.5}}}) + ({{{2/3}}}*{{{pi*1.5^3}}})
V = 12.959 + 7.069
V = 20.28 cu/in