A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a solid cone with radius 9 cm. Findthe height of the cone

Q: 6. Find the surface area of a right circular cone in which the radius measures 7 inches while the…

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Q: How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

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Q: A right circular cylinder with an altitude of 40cm and base diameter of 30cm has a right circular…

A: Recall:  Lateral are of cone, AL=πrl We have, l=60cm, diameter=30 cm, radius, r=15 cm

Q: 3. Find the volume of the largest right-circular cylinder that can be inscribed in a right-circular…

A: As per bartleby guidelines, for more than one questions, first one needs to be solved. The diagram…

Q: A piece of lead pipe of inner diameter 2 ¼ in., outer diameter 2 ⅝ in. and the length of 16 ft. has…

A: Find the volume of the metal in the pipe: Outer diameter=258inch=218inchSo radius = 2116inchInner…

Q: A solid of sphere of radius 15 cm melted and recast into solid right cones,each of radius 2.5 cm and…

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Q: How far from its center should a grapefruit with a 5-inch diameter be sliced in order that both…

A: We have given

Q: A right triangular prism has lateral area 120 cm2 If the base edges are 4 cm, 5 cm, and 6 cm long,…

A: The lateral surface area is 120cm2 Base edges are 4cm, 5cm, 6cm To find height of the prism

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: Can a cone with a diameter of 1 foot fit in a box that is one foot cubed?  Why or why not?

A: The box is 1 foot cubed. Means all sides are of length 1.

Q: Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: In order to between the tank and part of fence, formula for area of a sector has to be used. Area of…

Q: What is the surface area of a right cone whose base diameter is 22 cm and whose slant height is 13…

A: Given, base diameter,d=22 cmslant height,l=13 cm

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: 3. Find the volume of a cone with radius 5 cm and height 8 cm.

A: we have to find the volume of a cone with radius 5 cm and height 8 cm.

Q: Is there more wood in a 40-foot-high tree trunk with a radius of 2.5feet or in a 50-foot-high tree…

A: Given:

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the  height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: A right circular frustum of a cone has diameters of 10m and 6m respectively. If its slant height is…

A: Given, Diameters of the right circular frustum of a cone are 10m and 6m respectively Slant height =…

Q: A solid cone of butter with radius 3cm and height 4cm is melted down and poured into a cylindircal…

A:

Q: What is the total surface area including the base, of a 6-foot-high right circular cone with a 4…

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Q: What is the surface area of a right cone whose base diameter is 40 cm and whose height is 21 cm?

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Q: A cylinder with radius 7 has total area 168π cm2 Find its height.

A: Given: A cylinder with radius 7 has total area 168π cm2 To determine: Height of the cylinder.

Q: 1. Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: As per our guidelines, we can solve only one question at a time. Rest can be reposted..

Q: One hundred pyramid-shaped chocolate candies with a square base with 12 mm sides and height of 15 mm…

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Q: A company wanted to manufacture 1000 hemispherical basins from a thin steel sheet .If the radius of…

A:

Q: Find the surface area and volume of a 10-cm-high right prism with triangular bases having 18-cm…

A:

Q: A joker's cap is in the form of right circular cone whose base radius is 7 cm and height is 24 cm…

A:

Q: If a cone has a radius of 5 and a height of 12. What is it’s volume ?

A: Given radius of cone(r)=5Height of cone (h)=12We know that volume of cone is πr2h3

Q: A conical cup is 10 centimeters and holds 30 cubic centimeters of water. What is the radius of the…

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Q: Given a right circular cone of radius 3 cm and height 5 cm, find the following: Lateral area Total…

A: given: A right circular cone of radius 3 cm and height 5 cm. we have to find: 1) lateral area. 2)…

Q: What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a…

A:

Q: Determine the radius and height of the largest cylinder that can be inscribed in a cone of the…

A: Solution

Q: The legs of a right triangle measure 12 cm and 16 cm. Find out which cone has the greater total…

A: Given:- The legs of a right triangle measure 12 cm and 16 cm. To Find :- which cone has the greater…

Q: Compute the surface area of the cone having a slant height of 5cm and a diameter of the base equal…

A:

Q: If a metal cylindrical storage tank has a volume of 3000 ft3 and a radius of 8.00 ft, what is its…

A: Solving by volume and total surface area of cylinder

Q: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Given : A snowcone with radius of 4 cm is sold in a cone shaped paper cup with a height of 12 cm…

Q: A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it is…

A: Given that: A pentagonal prism with perimeter=20cmHeight=10 cm

Q: A cone has a radius of 5 and a height of 11. What is the volune?

A: Volume of cone =13πr2h where r is the radius of cone and h is the height of the cone.

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

A: This question is based on mensuration problem.

Q: A conical vessel  whose internal radius is 5 cm and height is 24 cm is full of water. The water is…

A:

Q: 5. A cubical block of copper, whose edges are 85 cm, is melted and recast into a cylindrical wire of…

A: Given information :- Cubical block of copper whose edges are 85 cm…

Q: Determine the dimensions (radius and height) of the largest right circular cylinder. volume that can…

A: Solution:-

Q: How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm , each…

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Q: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of…

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Q: A cone with diameter 4 cm and a height of 6

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Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

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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.