. A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder.

Q: Use calculus to find the volume of a tetrahedron (pyramid with four triangular faces), all of whose…

A:

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: A circular cylinder is to be generated by revolving a rectangle with a given perimeter p around one…

A: Step 1   Perimeter = pGiven rectangle of length = h, width = r is revolved and circular cylinder is…

Q: Find the volume of a spherical cone whose base segment has an altitude of 6 cm and the radius of the…

A: Given.

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

A:

Q: 8) Find the volume of the cone. V29 in 15 in 6. Z in

A:

Q: What is the volume of a cylinder with a radius of 3 in. and a

A: Given for a cylinderradius = 3 inheight = 9 involume = ?

Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

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

A: Formula v=43πr3

Q: If a triangular prism has a height of 7 and right triangular base with legs 8 and 10. What is the…

A:

Q: Find the surface area of a cylinder with a height of 6 in and a base radius of 2 in.

A: surface area of the cylinder = 2 pai r h

Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

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

A:

Q: What is the surface area of a right regular hexagonal prism with a base length of 10 meters, an…

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

A:

Q: Calculate the volume of a regular quadrilateral - pyramid if the base edge a = 10 cm and the apothem…

A: We can find the volume of the figure as below

Q: Find the volume of the described solid S frustum of a pyramid with square base of side b , squaretop…

A: Given-  Frustum of a pyramid with square base of side b , square top of side  a , and height h. To…

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

A:

Q: 8 in Find the volume of the sphere.

A:

Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…

A: We have to derive the formula for the volume of a right pyramid whose altitude is 'h' and whose base…

Q: 3. The base of a right regular hexagonal prísm has a perimeter of 36 cm and a volume of 396v3 cm³.…

A: Given that,  The perimeter of base of a right regular hexagonal prism is 36 cm. The base of the…

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

A:

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 the torus (donut) with radii r and R as shown in the figure.

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: A right prism with height of 12 units has hexagonal bases with edge of 6 units. Determine the volume…

A: Topic = Volume As per guidelines , At a time only one question can be answered. please repost for…

Q: 2) Far a veqular squave pyraid, suppese that the altitade has a ueasuve equal to that of the edges…

A:

Q: Find the volume of a right circular cone that has a height of 14.7 in and a base with a radius of…

A: Given: Height of right circular cone is 14.7 in Base radius of the right circular cone is 2.9 in To…

Q: The formula for the volume of a cone is most closely related to which of the following…

A: The formula for the volume of a cone is most closely related to which of the following…

Q: A sphere is inscribed in a cone with radius 6 cm and height 8 cm. Findthe volume of the sphere.

A: Given:r=6 cm h=8 cmVolume of the sphere=43 πr3

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: Find the volume (cu.units) of the sphere circumscribed about a regular tetrahedron whose edge is 12…

A: Given a regular tetrahedron whose edge is 12 units.  To determine  the volume of the sphere…

Q: What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square…

A:

Q: Refer to figure and find the volume generated by rotating the given region about a specified line.…

A: After rotating region R2 about line BC, it will look like

Q: State that the volume of largest right circular cone that can be inscribed in phere of radius K is ?

A: We use second derivative test to find out where volume is largest

Q: 6.4 in 14 in 17.5 in Find the volume of the rectangular prism.

A: Volume of rectangular prism =lbh Where l is the length of the rectangle  b is the breadth and h is…

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

A:

Q: A right prism has height x and bases that are equilateral triangles with sides x. Show that the…

A: Given, A right prism has height x and bases that are equilateral triangles with sides x.

Q: A.cone,301.6 B.sphere,904.8 C.cylinder,301.6 D.cone,904.8

A:

Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: topic - volume of cylinder

Q: The volume of the sphere with the radius 4 is = cubic units O 384x 3 O 1287 O 64x 3 256 3.

A: Answer: D

Q: The volume of an oblique prism is always greater than that of a right prism that contains a base…

A: We can answer the question as below.

Q: which has a bigger volume? a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A:

Q: The volume of an oblique prism is always equal to a right prism that contains a base shape congruent…

A: Given,  The statement about oblique prism and right prism  We have to identify the truthfullness of…

Q: A cone has a volume of 21z in. Which are possible dimensions of the cone? Select all that apply. A…

A: Given: The volume of the cone is 21π in3, To determine: The possible dimension of the cone out of…

Q: What is the volume for the cone 6 In. 4.5 In.

A: Volume=13πr2h