10. A cone has a radius of xcm and a slant height of 2xcm. In terms of x, what is: a) its vertical height? b) its volume? c) its surface area?

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: 4, find the A spherical propane gas storage tank has a volume of ft'. Using 7 = radius of the…

A: Given : A spherical propane gas storage tank has a volume of 7927 (ft)3  We have to find the radius…

Q: A cylinder has a diameter of 5 cm and a height of 6 cm. What is the lateral surface area rounded to…

A: From the given problem:   Diameter=d=5cm So, Radius=r=d2=52=2.5cm Height=h=6cm   As we know that the…

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of…

A:

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

A:

Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume %3D

A:

Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: Which set of dimensions belongs to a right rectangular prism with a volume of 440 cm3?

A:

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: A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in…

A:

Q: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

A: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

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

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Q: If the surface area of a right angle cone A is 48Tt, and the distance from the tip of the cone to a…

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Q: Which is greater, the surface area of a cone of height 10 and radius 20 or the surface area of a…

A: The dimensions of first cube: Height is h1=10 units Radius is r1=20 units The dimensions of second…

Q: A cone and a cylinder each have radius of 3 and height 4 - ratio of 3:4. what is the ratio of their…

A: given,       A cone whose radius=3 and height =4A cylinder whose radius=3 and height =4

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

A:

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top  =  b  =  10 * 5  =  50 m2    Area of bottom  =  B  =  20 * 10  =  200 m2    Height of…

Q: .If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its…

A: Given that: Lateral area of a right circular cylinder, A=90 cm2Volume of cylinder, V=225 cm3

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…

A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…

Q: 19. Find the surface area of a sphere with volume of 288π m. Give your answer in terms of π

A: Volume of a sphere, V = 4/3(πr3) Surface Area of Sphere, A = 4πr2

Q: what is the surface area of a right cirulat cylinder whose's base's diameter is 12.6 and hight is…

A: Given that, The diameter of the circular cylinder = 12.6 unit    And the height of circular cylinder…

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: A spherical wedge is cut with a central angle of 45° and has a volume of 120 cu cm. What is the…

A: Solution:Given ;Wedge angle =θ =45°volume of spherical wedge =120cm3radius of sphere =r=?we know…

Q: An oil refinery is located on the north bank of a straight river that is 2 km wide land to a point P…

A: Refinery located on north bank cost $200,000/km over the land at point P on north bank to construct…

Q: A cylinder has a radius of 2.5 cm and a lateral area of 20? sqaure cemtimeters. What is the surface…

A: Given information, the radius of cylinder is r=2.5 cm and the lateral surface area is 20 cm2. First…

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: What is the area of a trapezoid with bases of length 4 cm, 1.6 cm, and a height of 2 cm? O 2.8 cm2 O…

A:

Q: The volumes of two similar rectangular solids are 1000 cm3 and 64 cm3. What is the ratio of their…

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Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

A:

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given ,  A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: 2.Find the volume of the largest circular cylinder that can be inscribed in a sphere of radius R

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Q: A square base prism and a cylinder both have the same height of 4 cm in the same base area if the…

A:

Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

A: Given that: Volume of cylinder, V=6.54 m3Base of equilateral triangle, a=1.25m

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: 21. What is the exact volume of a sphere whose diameter is 14 cm? Show your work.

A: We will solve the following.

Q: 28. What is the surface area of a sphere when it has a radius of 2? (Round to the nearest hundredth)

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

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

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

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Q: 9. A cone has a circular base with a diameter of 18 inches and has a height of 12 inches. To the…

A: The lateral area of cone is given by AL=πrh2+r2.

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Consider the radius of a right circular cone = r So slant height l=2r Given that total area of the…

Q: The total surface area of a frustum of a right circular cone is 436πcm^2, and the base areas are…

A: If a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and…

Q: Whats the radius and height of a cone with slant height of 14.4cm and a curved surface area of…

A: Topic :- geometry

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: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

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.