Recall that the volume of a sphere or radius r is V = Find the rate of change of the volume of a sphere with respect to the radius, r. Then find the rate when r = 12 dV a) O dr 4r r; Rate = 2887 %3D dV = 4rn; Rate = 5767 dr b) O AP %3D 2rn; Rate = 2887 c) dr AP = 4rn; Rate = 487 d) O dr dV 2ra; Rate 247

Q: fu)=* fina the area under the Curve y=fCx) From x=3 +6 x= 9,

A:

Q: The relative error of f is . The relative error in the calculation of the area Af of a circle must…

A:

Q: 4. y =2x

A: Given: xy=1, xy=4, y=x, and y=2x

Q: of an object of mass m,

A:

Q: 1 br sCE) = 20 the lomit velocity of the

A: The position of a particle is st=203t+2, where s is in meters and t is in seconds. It is known that…

Q: IV. The dimensions of a closed rectangular box are measured as 10cm, 11cm, and 18 cm with a possible…

A: Closed rectangular box has dimension 10cm , 11 cm ,18 cm. Let , L=10cm , B=11cm , H=18cm…

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: How is the image of a figure that is dilated related to the original figure

A: For Answering this, we must have proper information about the definition of Some terminology like…

Q: Consider an arterial which has free flow speed of 65 kmph and average running time of vehicles is…

A: Topic- classification

Q: Estimate the, area undex fle) = SinCo) between = o x= n Using the sigkect end point rectan gles h to…

A:

Q: Find the maximum opproximate error in the volune of right cirwlar due to possible cone errore of /6…

A:

Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

Q: Draw Isometric View of CYLINDER of diameter 50mm and Height 60mm

A: Given that, the diameter of the cylinder is 50 mm and the height is 60 mm. At first a box should be…

Q: What is the rate of change of the volume of a sphere with respect to its radius when the radius is 5…

A: The concept that we are going to use to solve this problem is differential calculus. In this…

Q: A DVD has a radius of approximately 2.5 inches and rotates at 1600 rev/min. Find the linear velocity…

A: We know that v=ωr  where v is the linear speed and ω is the angular speed For a point on the edge of…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.