WebNow let's fit a cylinder around a sphere . We must now make the cylinder's height 2r so the sphere fits perfectly inside. The volume of the cylinder is: π × r2 × h = 2 π × r3. The volume of the sphere is: 4 3 π × … WebNov 9, 2015 · The picture below shows the cylinder inscribed in the sphere. Given the height, h, we can find the radius of the cylinder in terms of r using the Pythagorean Theorem. Note that h refers to half of the total height of …

Cone vs Sphere vs Cylinder - mathsisfun.com

WebExpress the volume of a right circular cylinder inscribed in a sphere of radius 40 in terms of the cylinder's height, h. V (h)=0 (Type an exact answer, using n as needed.) cm. The height is cm, and the radius is Show transcribed image text Expert Answer 1st step All steps Final answer Step 1/2 Given a sphere whose radius is 40 cm WebFind the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 65 cm. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer how can i record a webinar

Optimization, cylinder in sphere Physics Forums

WebWe must now make the cylinder's height 2r so the sphere fits perfectly inside. The volume of the cylinder is: π × r2 × h = 2 π × r3. The volume of the sphere is: 4 3 π × r3. So the sphere's volume is 4 3 vs 2 for the … WebAnswer (1 of 3): Let the right circular cylinder have a radius r and height 2h. Since the cylinder has to fit inside a sphere, \qquad r^2=5^2-h^2 Volume of a cylinder ... WebA cylinder is inscribed in a sphere of radius r. What is the height of the cylinder of maximum volume? A 32r B 3r C 2r D 3 r Hard Solution Verified by Toppr Correct option is A) We know that volume of the cylinder V=π(radius) 2×(height) here radius is r then ⇒πr 2− 43×πh 2=0 ⇒ 43×πh 2=πr 2 ⇒h 2= 43ππr 2 ⇒h= 34r 2 ⇒h= 32r. Was this answer … how many people escape jail