Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder

substitute our data

The volume of the ball

substitute our data

The space will have a volume of
=628.4-523.7
=104.7 in^3
Answer:
Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.
Draw a perpendicular on B and construct a line BC = 1 unit length.
Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.
The line segment AC represents √5 unit
Answer:
They need to deposit $31,172.49
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time the money is invested or borrowed for, in years.
In this problem
We want to find P for which
when 
So





They need to deposit $31,172.49
4x + 6y = 8z +34
4x+6y - 8z = 34