3. Determine the dimensions of the right circular cylinder, with the greatest volume, that can be inscribed in a right circular cone with base radius R and altitude H.

Q: 11. Derive the formula for the total surface area of a right circular cone with radius r and…

A: To find the formula for the total surface area of a right circular cone with radius r and height h.

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square…

A: Draw a figure from the given information, a sphere with radius r the base of the pyramid is square,…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: It is given that, The radius of container A=12 feet The height of container A=20 feet and, The…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. Suppose Rand H are the…

A: Given: Right circular cylinder with open top has volume 1000 cm3.            R is the radius of the…

Q: 10. Find the volume of the largest right cone that fits in the sphere of radium 1.

A:

Q: 6. **** 6,

A: We are given a cube in which the length of each side is 6 units.

Q: 14. Find the dimensions of a right cone with surface area S=4 n that has the largest volume?

A:

Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of  cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

Q: Solve the following as directed. 1.) Find the volume of the largest right circular cylinder that can…

A:

Q: 8. Two similar cones have a combined volume of 400 in, and the larger cone holds 80 in.° more than…

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Solve By minimizing surface area

Q: 5. A soft drink cup is in the shape of a right circular cone with capacity 250 mL: If the radius of…

A:

Q: 1. If the cube has a side lenght of 1 unit, what is the volume 2.) What is the surface area of the…

A: volume = no of cube*(volume of 1 cube) volume = 44*(1*1*1) volume = 44 unit3 now for surface area =…

Q: 1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 5. Find the volume common to two circular cylinders, each of radius r, that intersect at right…

A:

Q: 20. What is the exact volume of a cylinder whose diameter is 10 meters and whose helght is 12…

A:

Q: If the volume of a cone is 6 7 with radius 3, then its height is Select one: O a. 3 O b. 1 c.2 O d.…

A:

Q: A cone with the same base but a height of 3 times taller than a cylinder with a height of 4 and a…

A: ANSWER :

Q: 3.A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than…

A: Let us assume that the pizza has a diameter of x inches Since the side of the square shaped pizza…

Q: 15. Let the cap of height h in a sphere of radius r have volume V.

A: In this question we will use basic of calculus i.e application of integration. We will assume a…

Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

A:

Q: If the surface area of cone D is 55Tt, and the distance s between the cone's tip and a point on the…

A:

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

A:

Q: Given that the altitude is 2/3 of the total altitude of a cone which is 10m and the base of the cone…

A: The volume of the frustum can be obtained using the formula V=13πH(R2+Rr+r2). Here, H is the height…

Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

Q: 5. Give formulas for the volume and the surface area of acylinder whose radius r is half of its…

A: To give the formula for the volume and the surface area of a cylinder whose radius r is half of its…

Q: 14.) Find the volume of a sphere with radius 18 m.

A:

Q: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the…

A: Given:              A regular polyhedron of n faces is inscribed in a sphere of radius length 6 in.

Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

A:

Q: The base of a solid is the unit circle x^2+y^2=1 , and its cross sections perpendicular to the…

A:

Q: Find the largest valume of a cylinder that first into cone has base radium R and height h

A:

Q: 9. Find the volume of a frustum of a right circular cone with height h, lower base radius R, and top…

A: Volume of frustom of right circular cone is given by

Q: A rectangular box with a square base is inscribed in a right circular cone of height 4 and base…

A: Given:A rectangular box with a square base is inscribed in a right circular cone.The base radius of…

Q: Find the volume of liquid needed to filla sphere of radius R to height . R

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose Rand H are the…

A:

Q: Given that a right cireular cylinder is inscribed within a sphere, what is the least possible volume…

A: Given: A right circular cylinder is inscribed within a sphere with the radius r as given in the…

Q: 1. Derive the formula for the total surface area of a right circular cone with radius r and altitude…

A: The right circular cone can be drawn as,

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

Q: 9. Compute the volume and surface area of a right circular cone for which the base has a radius of…

A: We have to solve above question and find the cone s volume and surface area

Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

Q: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

A:

Q: 2. Find the largest volume of a cylinder that fits into a cone has base radium R and height

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Q: 3. Find the radius, height and EXACT volume of the right cylinder formed by the net (flat pattern)…

A:

Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

A:

Q: 1. Find the height of a circular cylinder of maximum volume, which can be inscribed in a sphere of…

A:

Q: If a cone has a SA (Surface Area) of 25 and its dimensions are doubled what is the new SA?

A: The surface area of a cone is given by the expression A=πrr+h2+r2. Here, r is the radius of the cone…

Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine the solution in finding the dimensions of the right circular cylinder, with the greatest…

A:

Q: 4. Find the volume of the solid that lies above the cone o H and below the sphere p = 2.

A: