suppose a hole of radius 1 is bored through a sphere of radius 2. what is the volume of the resulting shape

21.77

Step-by-step explanation:

Applying,

V = (4/3)π(R²-r²)³/² Equation 1

Where  V = Volume of the resultant shape, R = radius of the sphere, r = radius of the hole bored, π = pie

From the question,

Given: R = 2, r = 1

Constant: π = 3.14

Substitute these values into equation 1

V = 4/3(3.14)(2²-1²)³/²

V = (12.56/3)(3)³/²

V = 4.19(5.196)

V = 21.77

yes

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18