Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 660pi inches^3. One day, his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Anthony begins scooping.

(a) One cup has a diameter of 5 in. and a height of 8 in. How many cups of water must Anthony scoop out of the sink with this cup to empty it? Round the number to the nearest whole number.

(b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number to the nearest whole number.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

i think the correct option is the second option.