boisemaddie
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

This right cylindrical tank can hold 96π cubic meters of sand. The height of the cylindrical tank is 6 meters. Find the length, in meters, of r, the radius of the base of the tank.

Sagot :

LovelyQuuen

Answer:

4 m

Step-by-step explanation:

The formula for the volume of a cylinder is πr^2 x h

r = radius    h = height

So, with this you can reverse it to find the radius since you know the height.

96π/6 = 16π

√16π = 4π

radius = 4 m

Answer:

4 meters

Step-by-step explanation:

Given:

  • Height of cylinderical tank: 6 meters
  • Volume of cylinderical tank: 96π meters³

⇒ Volume of cylinder: πr²h

Substituting the height and the volume in the formula:

⇒ Volume of cylinder: πr²h

⇒ 96π meters³ = (π)(r²)(6)

Dividing both sides by 6π to isolate "r" (Radius):

⇒ 96π/6π = (π)(r²)(6)/6π

⇒ 96π/6π = (r²)

⇒ 96/6 = (r²)

⇒ 16 = (r²)

Taking a square root both sides:

⇒ √16 = √(r²)

⇒ √4 x 4 = √(r x r)

⇒ 4 meters = r

The measure of the radius is 4 meters.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.