a cone. Find the magnitude of such that the volume of the cone is a maximum.

Q: 12. A 20-ft long water trough has ends in the form of isosceles triangles with sides that are 4 ft…

A: Explained below

Q: (b) A circular cone, with base radius r and height h, has an inscribed unit sphere. Find the volume…

A:

Q: show that :(A) the space of a cube is twice the surface of its diagonal. (B) The volume of a cube in…

A: Consider the lower base of a cube. Use Pythagorean Theorem in order to solve for the hypotenuse or…

Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

A:

Q: Find the volume of the cone show all work 22.6 13m

A: To find: The volume of the cone: Concept used: The volume of the cone having radius r and height h…

Q: Find the radius of a cone if it has a volume of 960r in', and a height of 20 in. V= 1 - Tr²h 3

A: We have to find the radius

Q: fit the largest possible cone inside a sphere, what fraction of the volume of occupied by the cone?…

A: In this question we have to find the fraction of the volume of the sphere is occupied by the cone.

Q: Find the volume of a cap of a sphere with radius 50 and height h = 3.

A: volume of sherical cap with radius given r=50 and height=3

Q: The vertex of a cone is at the upper vertex of a cube. The base of a cone is circle which is…

A: Volume of cone

Q: 1. Find the volume of a sphere.

A: We can find the volume of sphere by the definition of sphere as below.

Q: Find the volume of the cone.

A: We know that the volume of a slant cone is same as the volume of a regular cone. Given that,…

Q: Find the volume of the Sphere 5 m¸-

A:

Q: Find the exact volume of a sphere whose length of radius is 1.5 in.

A: Formula v=43πr3

Q: Find the volume of this cone.

A: we have to find the volume of the given cone.Given : radius of cone =11 mheight of the cone : 27 m

Q: If you fit the largest possible cone inside a sphere, what fraction of the volume of the sphere is…

A: In the given question we have to tell about the fraction of the volume of the sphere occupied by the…

Q: Find the dimensions of the rectangular box with largest volume if the total surface area is given as…

A:

Q: The circumference of a sphere is measured to be 84 cm with a possible error of 0.5 cm.  a. What is…

A:

Q: A carpenter chisels a square hole of side 2 in. through a round post of radius 2 in., the axis of…

A:

Q: A cylinder has a volume of 1,884 cm3. Find the volume of a cone with the same radius and height as…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q:3) Find the volume of a sphere of radius r.

A:

Q: The circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. Find its volume.

A: we have been given that the circle x2 + y2 = a2 is rotated about the x-axis to generate a sphere. we…

Q: Show complete solution. Solve for the volume of a right circular cone whose radius is r and whose…

A:

Q: The diameter of the base of a right circular cone is 8 cm and its altitude is 8 cm. Find the volume…

A: This question is based on application of similar triangles.

Q: Find the volume of a sphere pyramid of height "h" and base edge of length "a"

A:

Q: The diagram shows an igloo which consists of a hemispherical shell of outside radius 2 m and inside…

A:

Q: Find the volume of the cone

A: Given, Slant height of cone = 17 m  Height of the cone = 15 m   We have to find the volume of the…

Q: A cone fits insides a cylinder so that their bases are the same and their heights are the same, as…

A:

Q: Derive the formula for the volume of a sphere of radius r.

A: The volume of cylindrical element with radius x and altitude dy.                    dV  =  πx2 dy…

Q: The volume of the sphere with the radius 3 is = _ cubic units %3D 547

A:

Q: What is the volume of this cone? 12

A: To find the volume of cone

Q: Use either method Disk method to solve for the volume

A: Given,

Q: The center of each two spheres having equal radius of 3 m. lies in the surface of the other sphere.…

A:

Q: Find the volume of a cap of a sphere with radius r=65 and height h=47.

A: Given,           The volume of a cap of a sphere with radius r=65 and height h=47.We know that,…

Q: Use calculus to find the volume of a cap of a sphere with height h and radius r.

A:

Q: Choose the formula for the volume of a sphere of radius r.(a) 4/3 πr 2 (b) 4/3 πr 3 (c) 4πr 3 (d)…

A: The volume of a sphere of radius r is,

Q: d the volume of this rectangular pyramic sure to include the correct unit in your a

A: Here we have to find the volume of the rectangular pyramid.    We have, l=7 in w=3 in  h= 7 in

Q: The volume of the solid is (Тур

A:

Q: Find the volume of the cone below

A:

Q: A box, used to package men's shirts, is in the shape of a square-based prism and its to have a…

A: Given Data: The volume of the square-based prism is: V=8400 cm3 The equation of surface area is:…

Q: 2 6 7 9 1 -2 The graph above shows the base of an object. Compute the exact value of the volume of…

A: The rough diagram of the object is shown below. Express the mathematical expression to calculate…

Q: An ice cream cone is filled with ice cream and surmounted ice cream in the form of a hemisphere on…

A: Given- The shape of a ice cream is like the cone surmounted with the hemisphere.The surface area of…

Q: What is the volume of the cone?

A:

Q: Calala te the volume of the selid enclesed by the parabola z=x+y? and the sphere

A: Let's find.

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

A:

Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

Q: - and a cone have congruent heights and radii. What is the ratio of the volume o the volume of the…

A:

Q: 1. Find the volume of the sphere. Leave your answer in terms of T. r = 4

A: Finding the volume of sphere when radius is given

Q: 4 m 2.5 m /hich of the following is closest to the volume of the right square pyramid? A 3 m B 7 m ©…

A: Substitute the values into the volume of square pyramid formula to get the volume.

Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

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.