Answer:
radius is 4 height is 10 volume is 167.55
Step-by-step explanation:
Answer:
Volume of the cone: 32π cubed unit
Step-by-step explanation:
Volume of cone: V=1/3hπr²
1/3 x 6 x π x 4^2 = 32π
This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
