WATER TOWER One of the largest sphere water towers in the country is located in Edmond, Oklahoma. It is 218 feet tall and holds 500,000 gallons, or about 66,840 cubic feet of water. Another town is planning to build a similar water tower. However, the new water tower will hold 3 5 as much water as the tower in Edmond. Determine the radius of the new water tower to the nearest foot.

The radius for the new tower is approximately 21 foot if the new tower is 3/5 of the Edmond's.

Step-by-step explanation:

The volume of a sphere is given by the following expression:

Volume = (4/3)*pi*r³

Since the Edmond tower holds 66,480 feet³ and the new one will hold 3/5 as much as that, therefore:

New volume = 66480*(3/5) = 39,888 feet³

Applying this volume to the formula we can solve for the radius.

39,888 = (4/3)*pi*r³

(4/3)*pi*r³ = 39,888

r³ = 39888/[(4/3)*pi]

r³ = 9522.5585

r = 21.19 foot

The radius for the new tower is approximately 21 foot if the new tower is 3/5 of the Edmond's.

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 .