What is the surface area of a sphere that has a radius of 5 inches? 4πr 2 = 4 x 3.14 x 5 inches x 5 inches = 314 inches 2 Volume of a Sphere There is another special formula for finding the volume of a sphere. The volume is how much space takes up the inside of a sphere. The answer to a volume question is always in cubic units.

A long cylinder has radius R and a magnetization given by M~ = ks2φˆ. Figure 6.13 in Grifﬁths represents this cylinder and k is a constant. For points inside and outside the cylinder ﬁnd the magnetic ﬁeld due to M~ . Solution The magnetic ﬁeld due to M~ is that resulting from the bound currents that M~ generates. These currents are ...

Jun 19, 2018 · 4. If the lateral surface of a cylinder is 94.2 cm 2 and its height is 5 cm, then (i) radius of its base (ii) volume of the cylinder. Ans. Height of the cylinder = 5 cm. Lateral surface area of the cylinder = 94.2 cm 2 = 94.2. 2 x 3.14 x x 5 = 94.2 = 3 cm. Volume of cylinder = = 3.14 x 3 x 3 x 5 = 141.3 cm 3

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A = π r 2 where r is the radius which is equal to d/2. Therefore: V(tank) = π r 2 h. The filled volume of a vertical cylinder tank is just a shorter cylinder with the same radius, r, and diameter, d, but height is now the fill height or f. Therefore: V(fill) = π r 2 f

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SA= 2(πr2)+ 2πrh= 2(π⋅ 62)+ 2π(6)(10)= 72π+ 120π= 192π square units. This is an exact answer. An approximate answer is 603.18579 square units. Volume of a Cylinder V= Ah A = the area of the base of the cylinder h = the height of the cylinder Surface Area of a Cylinder SA= 2(πr2)+ 2πrh r = the radius of the circular base of the cylinder

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www.justmaths.co.uk Volume of Prisms, Cones, Pyramids & Spheres (F) - Version 3 January 2016 2. Four solid balls are packed in a cylindrical container. The diameter of each ball is 6 cm. The cylinder has diameter 6 cm and height 24 cm. Calculate the volume of unused space in the cylinder. (The volume V of a sphere is V = 4 3 è N3 )