How can rate related problems be solved?

In all cases, you can solve the related rates problem by taking the derivative of both sides, plugging in all the known values (namely, x, y, and ˙x), and then solving for ˙y. To summarize, here are the steps in doing a related rates problem: 1. Decide what the two variables are.

How do you find the volume of a truncated cone?

Truncated cone volume (volume of frustum) You can calculate frustum volume by subtracting smaller cone volume (the cut one) from the bigger base one, or use the formula: volume = (1/3) * π * depth * (r² + r * R + R²) , where R is a radius of the base of a cone, and r of top surface radius.

How do you find the height of a truncated cone?

For your two cones the radius of the base of the larger cone is |BC| = 36 inches and the radius of the base of the larger cone is |DE| = 25/2 inches. The heights are h + 48 inches and h inches. Thus if you can find the length |AD| = h you can calculate the volumes. Solving for h gives h = (48 × 25)/47 = 25.53 inches.

What is the formula for volume of cones?

V=1/3hπr²
The formula for the volume of a cone is V=1/3hπr².

What is frustum formula?

The conical frustum formula of cone in terms of radius ‘r’ and height ‘h’ is given by; Slant height = √((r – r’)2 + h2)

What is the formula of CSA of cone?

Curved Surface Area of Cone Formula The curved surface area of the cone can be given by finding the area of the sector by using the formula, Area of the sector (in terms of length of arc) = (arc length × radius)/ 2 = ((2πr) × l)/2 = πrl. ∴ The curved surface area of a cone, S = πrl units2.

What is the CSA of frustum?

CSA of the frustum of a cone = πl( r1 + r2). where r1 = radius of the larger circular face of the frustum, r2 = radius of the smaller circular face of the frustum, and l = slant height of the frustum. l = h2+(r1-r2)2 h 2 + ( r 1 – r 2 ) 2 and h is the height of the frustum.