What is the diameter of the sphere?

Remember the equation for the volume of a sphere:

Since we know the volume, we can set the formula equal to this value and find our radius, and thus our diameter.

Set up

Divide both sides of eqution by

Multiply right side terms together

Take the cube root of both sides

Given that , we find

Our answer is 4 in.

Answer: c. x y2 04 66 16

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )