Use Cavalieri’s principle to derive a formula for volume of a right circular cone.

Expert Solution

milcah answered 2 years ago

The tank in the form of a right-circular cone of radius 7 feet and height 39...

The tank in the form of a right-circular cone of radius 7 feet and height 39 feet standing on its end, vertex down, is leaking through a circular hole of radius 4 inches. Assume the friction coefficient to be c=0.6 and g=32ft/s^2 . Then the equation governing the height h of the leaking water is dhdt=_______________ If the tank is initially full, it will take _________ seconds to empty.

In the figure current is set up through a truncated right circular cone of resistivity ?,...

In the figure current is set up through a truncated right circular cone of resistivity ?, left radius a, right radius b, and length L. Assume that the current density is uniform across any cross section taken perpendicular to the length. In terms of the variables given, what is the resistance of the cone?

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...

find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with radius 50cm

A spherical ball was completely immersed into an inverted right circular cone full of water. After...

A spherical ball was completely immersed into an inverted right circular cone full of water. After the ball was removed it was found out that the water surface had dropped 6 cm. below the top of the cone. The diameter of the cone is 12 cm. and its altitude is 36 cm. Determine the wet area (in cm^2) when the cone is full.

Explain why the formula to determine the Volume of a cone and puramid if V=Bh/3

The surface area of a right-circular cone of radius r and height h is S=πrr2+h2−−−−−−√, and...

The surface area of a right-circular cone of radius r and height h is S=πrr2+h2−−−−−−√, and its volume is V=1/3πr2h. (a) Determine h and r for the cone with given surface area S=4 and maximal volume V. h= , r= (b) What is the ratio h/r for a cone with given volume V=4 and minimal surface area S? hr= (c) Does a cone with given volume V and maximal surface area exist? A. yes B. no

The volume of a right circular cylinder with base radius ? and height ℎ is given...

The volume of a right circular cylinder with base radius ? and height ℎ is given by: ? = ??^2ℎ. If the base radius is decreasing at a rate of 3 inches per minute and the height is increasing at a rate of 2 inches per minute, at what rate is the volume of the cylinder changing when the radius is 8 inches and the height is 3 inches. Will the volume be increasing or decreasing at this instant? Be...

Use spherical coordinates to find the volume of the solid E that lies below the cone...

Use spherical coordinates to find the volume of the solid E that lies below the cone z = sqrt x^2 + y^2, and within the sphere x^2 + y^2 + z^2 = 2, in the first octant.

Problem: A bottle is shaped with a right cone placed on top of a right cylinder....

Problem: A bottle is shaped with a right cone placed on top of a right cylinder. The radius of the cone and the cylinder is 1.5 inches. The height of the cone is 3 inches and the height of the cylinder is 5 inches. Find the volume of the bottle. About how much paper or plastic is needed to make a label for the cylindrical part of your bottle? Explain.

Use the conservation of linear momentum principle to derive one of the following: a. The head...

Use the conservation of linear momentum principle to derive one of the following: a. The head loss formula for a hydraulic jump b. The minor loss coefficient for a sudden pipe contraction

Question