Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

A snow cone shop owner is changing his traditional cone-shaped paper cups to cylindrical-shaped paper cups, as shown below. The new cylindrical cup will have the same diameter but a different height. If the shop owner wants the new cylindrical cup to hold the same volume as the original cone-shaped cup, how tall must the new cup be? The volume of the cylinder is the volume of the cone, therefore the height of the new cylindrical cup needs to measure in order for the volume to stay the same.

Sagot :

Answer:

three times

2

Step-by-step explanation:

Please find attached the image containing the complete question

volume of a cylinder = nr^2h

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  = 3/2 = 1.5

h = height

the cylinder is 3 times the height of the cone

volume of the cone = (1/3) x (22/7) x 6 x (1.5^2) = 14.14

the volume of the cylinder would be 14.14. The height of the cylinder can be determined using this equation :

14.14 = 22/7 x (1.5^2) x h = 2

View image ewomazinoade
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.