Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

If a cone, cylinder, and sphere have the same radius and same height, what is the relationship between the volumes of these three shapes


Sagot :

Answer:

the volume of the sphere will be 4 times the volume of the cone

Step-by-step explanation:

The question is on volume comparison

Volume of a sphere=4/3 ×r³

Volume of a cone= /3×r²h

where r is the radius and h is the height

Apply the condition

If r=h=1 unit

Then volume of sphere will be= 4/3 × ×1³ = 4/3

And volume of the cone will be= /3 ×1²×1 =/3

We can see the volume of the sphere will be 4 times the volume of the cone;

4/3 = 4×/3