Answer:
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Volume of piece of cake = 196.42 cm³
Step-by-step explanation:
Given:
Shape of cake = cylinder
Find:
Volume of piece of cake = ?
Computation:
Volume of cake = [tex]\pi[/tex]r²h
So,
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Where,
[tex]\theta\\[/tex] = Angle of cake cut
r = radius of cake
h = Height of cake
[tex]Volume\ of\ piece\ of\ cake =\frac{30}{360}(\frac{22}{7})(10)^2(7.5) \\\\Volume\ of\ piece\ of\ cake = 196.42[/tex]
Volume of piece of cake = 196.42 cm³
