A solid sphere is cut into 4 equal wedges the volume of each wedge is v=1/3r3 solve the volume for r

r = (3V/π)^1/3

Step-by-step explanation:

Given that :

Volume of a sphere = V = 4/3πr³

Dividing into 4

4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³

V = 1/3πr³

Cross multiply

3V = πr³

Divide both sides by π

3V/ π = πr³/ π

3V/ π = r³

Take the cube root of both sides

r = (3V/π)^1/3

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .