We're going through all the shapes.
A sphere has volume
A hemisphere has half the volume and a radius is half a diameter.
Answer:
Is 6x and 4x+2 equivalent
? No!
Step-by-step explanation:
6x doesn't equal 4x+2
In order for them to be the same you would have to add the same terms example:
4x+2x would equal 6x
Extra explaining:
The only way for those term to be added would be if they had the same variable since only 4x has a variable the 2 cant be added. In math you CANNOT move your variables off of a number and add them back on after.
Alrighty
2pi radians in a circle
so
find the circumfernce
5/2pi=60/circumfnernce
solve for circumfernece
multiply both sides by 2pi circumference
5circumference=120pi
divide both sides by 5
circumference=24pi
c=2pir
24pi=2pir
divide both sides by 2pi
12=r
the radius is 12cm
To be able to determine the volume of the entire silo, we can divide the silo into parts where we can easily calculate the volume of the parts. In this case, we divide it into a cylinder and a hemisphere. We calculate the individual volumes of these shapes and add up to represent the whole silo. We do as follows:
Volume of cylinder = πr^2h
Volume of cylinder = π( 1.6 )^2 (6.2)
Volume of cylinder = 49.86 m^3
Volume of hemisphere = 2πr^3/3
Volume of hemisphere = 2π(1.6)^3/3
Volume of hemisphere = 8.58 m^3
Volume of the whole silo = 49.86 m^3 + 8.58 m^3 = 58.44 m^3
