Answer:
109 cm³
Step-by-step explanation:
Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r
The circumference of the semi-circle can be calculated as:
Then we can find the value of r:
- r(2+π)=11
- r= 11/(2+π)
- r= 11/5.14
- r= 2.14 cm
The volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:
- V= (2r)³ + 1/2×πr²×2r= 8r³ + πr³= (8+π)×r³
- V= (8+3.14)×2.14³ = 109.1758 cm³
The volume is approx. 109 cm³
