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10. The volume V of right circular cylinder (Pepsi can) is V rah and surface area...
Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 80 cm. What is the maximum volume? Express the volume of a right circular cylinder inscribed in a sphere of radius 80 in terms of the cylinder's height, h. V(h)= (Type an exact answer, using n as needed.)
3. Determine the element of surface area dS for a right circular cylinder, x=: a cos u y= a sin u z=v
do not use a calculator 7. Find the maximum volume that can be made from a cylinder with lateral surface area 10. The lateral surface aren of a cylinder is S Ⅱ 2Trh where r is the radius and h is the height. The volurne of a cylinder İS Tr2h. 7. Find the maximum volume that can be made from a cylinder with lateral surface area 10. The lateral surface aren of a cylinder is S Ⅱ 2Trh where r...
find the surface area and volume of a right cylinder, closed at both end 8. Find the surface area and volume of a right cylinder, closed at both ends, with a base circumference of 8 in. and a height of 12 in. Find the surface area and the volume of the cylinder, Round your answer to the nearest whole number. Surface Area = Volume =
6. Consider a cylinder with a surface area of 2 m2. Find the radius r and height h of such a cylinder so that the volume of the cylinder is a maximum. Given: For a cylinder, the surface area is S = 2^r2 + 2trh and the volume is V = arh (where r is the radius and h is the height of the cylinder). I (5)
Surface Area to Volume Derive an expression that relates the surface area (SA) of a cylinder to the volume (V) of a cylinder (i.e., SA:V). Then derive an expression that relates the SA:V of one cylinder to that of another cylinder and use this relationship to compare the SA:V of a ~cylinder-shaped Escherichia coli to the SA:V of a ~cylinder-shaped Bacillus megaterium. E. coli is 2 μm in length and 0.5 μm in diameter whereas B. megateriumis 4 μm in...
Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 20 cm. The radius is cm, and the height is cm. (Type an integer or a decimal. Round to the nearest hundredth as needed.) cm The volume is (Type an integer or a decimal. Round to the nearest hundredth as needed.)
4. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a sphere with radius 8 inches?
A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 17.8 cm and a length of 71.1 cm. Through one end there is an inward magnetic flux of 25.8 μWb. At the other end there is a uniform magnetic field of 1.54 mT, normal to the surface and directed outward. What are the (a) magnitude and (b) direction (inward or outward) of the net magnetic flux through the curved surface?
A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 14.1 cm and a length of 116 cm. Through one end there is an inward magnetic flux of 23.0 μWb. At the other end there is a uniform magnetic field of 2.32 mT, normal to the surface and directed outward. What are the (a) magnitude and (b) direction (inward or outward) of the net magnetic flux through the curved surface?