The volume of a sphere is 32/3 π cubic centimeters. What is the radius?

Sphere V = 4/3 πr3

1. Substitute 32/3 into the volume formula for V: 32/3 π = 4/3
πr3

2. Multiply both sides of the equation by 3/4: 8π = πr3

3. Divide both sides of the equation by π. 8 = r3

4. Take the cube root of both sides: 3√8 = r

The radius of the sphere is
cm.

The radius of the sphere is 2 cm

Step-by-step explanation:

To find the radius of a sphere with a volume of 32/3 π cubic centimeter, we will follow the steps below,

First write down the formula for calculating the radius of the sphere.

That is;

V= πr³

where v is the volume of the sphere and  r is  the radius of the sphere.

From the question given volume is equal to 32/3 π cubic centimeters.

Substitute for v in the formula and solve for r

V= πr³

π  =   πr³

The  π  at the left-hand side will cancel-out the π on the right-hand side of the equation.

 =   r³

Multiply both-side of the equation by

×  =  × r³

8=r³

Take the cube root of both-side of the equation

∛8=∛r³

2 = r

r = 2 cm

Therefore the radius of the sphere is 2 cm

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

∠cbe and ∠deb are same-side interior angles.

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