Assignments write an account on the derivation of volume and surface areas of cylinder and cones
Answers
Volume and surface areas of cylinder and cones are given below.
Step-by-step explanation:
1. The formula for the volume of a cylinder is v = πr²h. The volume for a cone whose radius is R and whose height is H is V = 1/3πR²H.
2.To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r², where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r².
3.A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
4.The volume of a cone has two variables, radius and height, and the formula is . Since it has two variables you'd usually want to take the partial derivative with respect to either variable. For instance if you want the partial derivative with respect to r, you treat h as a constant and take the derivative.
5.The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.
6.Find the lateral surface area of a right cone if the radius is 4 cm and the slant height is 5 cm. The formula for the total surface area of a right cone is T. S. A=πrl+πr2 .
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