A cone and a cylinder each have radius of 3 and height 4 - ratio of 3:4. what is the ratio of their respective volumes? what is the ratio of their lateral ares?

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: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area  of sphere =4πr2

Q: Suppose planet A’s diameter is approximately 6 times planet B’s and both bodies are spheres. What is…

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Q: The base of a right prism is a regular hexagon whose sides are 8 cm in length. The height of the…

A: (a) part It is given that, side of regular hexagon=8 cmheight altitude=13 cm First, find the…

Q: The ratio of the volume to the lateral area of a right circular cone is 3:1. If the altitude is 15…

A: Here we can choose the correct answer as below.

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

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Q: A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be…

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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: THE VOLUME OF A RIGHT PRISM WHOSE HEIGHT IS 6 cm IS 371.61 cu.m. EACH BASE HAS 5 EQUAL SIDES. WHAT…

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Q: The sides of the base of a regular octagonal pyramid is 8 cm. The angle between the lateral edges…

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

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

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Q: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

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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: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15…

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Q: A cone and a cylinder both have height 48 and radius 15. Givethe ratio of their volumes without…

A: Given that,  Cone and Cylinder both have height 48 and radius 15. To find the ratio of their volumes…

Q: A frustum of a cone has an upper base whose diameter is 6 m and a lower  base whose diameter is 12…

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Q: A cylinder has a volume of 15000 cm3 and radius =13.4cm. What is the height of the cylinder?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: a regular octagonal prism has its axis inclined at 75 degrees from vertical. the length of this axis…

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Q: The ratio of the areas of two circles is equal to the ratio of their radii. true or false?

A: According to given, Let the radius of circle1 be r1. The radius of circle 2 be r2. Therefore, Area…

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5:3. If the…

A: Given that the ratio of slant height to the radius of right circular cone is 5:3 and the volume of…

Q: The radii of parallel circular sections of a sphere are 4 in and 4.8 in, while the radius of the…

A: Here we are given ,    r1 = 4    , r2=4.8   and R =5To find h:  O: Centre of sphere⊙ AO  = OD =…

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

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: According to Cavalieri's Principle, which pair of shapes would have equal volumes?

A: the volume of the cone, pyramid , cylinder , sphere , rectangular prism , are given by  volume of…

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: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. What are…

A: given: A trapezoid has an area of and an altitude of 2m. the two bases of the trapezoid have ratio…

Q: 1. The volume of a right prism is 234 cu.m. with an altitude of 15 m. If the base of the prism is an…

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Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

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Q: One sphere has a diameter of 10 cm, and another sphere has a diameter of 4 cm. What is the…

A: Volume of sphere= (4/3)πr³  Where r is the radius of sphere  Given diameter of ist Sphere, D1 = 10…

Q: A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition…

A: Given query is to find the perimeter of the triangular Prism.

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

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

A: Given:

Q: Determine the volume of a cylindrical wedge cut from a cylinder with a radius 4 m, if the cutting…

A: The base of cylinder is circular in shape, so the general equation of the base is, x2+y2=a2 where a…

Q: The base areas of two similar prisms are 32 and 200, respectively.a. Find the ratio of their…

A: The base areas of two similar prisms are 32 and 200

Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Given that the sides of the bases of a right prism are of lengths 9 in., 15 in. and 12 in. The…

Q: What is the volume of the parallelepiped with the sides i, 8j-k, and 9i+7j-k?

A: Given that, Find the volume of parallelepiped.

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: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2:3. What…

A: given            Area of trapezoids(A)=40 m2  height (h)= 2 m base ratio  a : b = 2 : 3  Find…

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: Engr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from…

A: Let h be the distance from the base of the right circular cone which also the height of the frustum.…

Q: A sphere and a cube have equal surface areas.show that the ratio of the volume of the sphere to that…

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Q: A Cylinder and cone have bases of equal radii and are of equal height.Show that their volume are in…

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Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

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Q: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2 : 3.…

A: The isosceles trapezoid is a trapezoid with the non-parallel sides being equal. The area of an…

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…

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.