The volume of a cone with height 49 cm, is 1848 cm'. Calculate the radius of the cone.

Q: Find the volume of a right circular cone that has a height of 7.5 m and a base with a radius of 14.7…

A: Volume of right circular cone is, V=π(r)2×h3where,r=radius and h=height Here, r=14.7 m h= 7.5 m

Q: Find the volume of a right circular cone that has a height of 9.6 cm and a base with a radius of…

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A: Given Length of pipe = 25 ft Volume of pipe = 900 ft3

Q: A right circular cone has a slant height of 12 ft and a lateral area of 967 ft'. Find its volume.

A: Given slant height and lateral area of cone are 12 ft and 96πft2, respectively. Obtain radius of the…

Q: Find the volume of a cylinder with a radius of 9 cm and a height of 10 cm. Volume = %3D

A: We can use mansuration in order to solve the given problem.

Q: How much work is needed to pump all the water out of a cylindrical tank with a height of 10 m and a…

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Q: A circular swimming pool has a diameter of 6.4 m and is filled with water to a depth of 2.3 m. A…

A: Volume is the amount of space enclosed inside a solid. Volume of cylindrical body of radius and…

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

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Q: A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the…

A: The solution is :

Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: a right cone with slant height of 5.6 centimeters and a radius of 1 cm. find the volume

A: For the right cone Slant height s=5.6 cm Radius r= 1cm Volume V = ?

Q: About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured…

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Q: The lateral area of the right circular cylindrical water tank is 92 sq m and its volume is 360 cubic…

A: Let's find.

Q: For a right circular cylinder of height 25 ft, the radius was measured as 20 ft with an error of…

A: the volume of the right cylinder is given by the formula, V=πr2h where r is the radius of the…

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its…

A: We know  that  the lateral surface area of the cone having radius "r" and height "h" is πrl, where…

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 cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given that Height of cylindrical tank is 5 ft. Radius of the cylindrical tank is 2 ft.   It is known…

Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

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Q: The area of the base of an aluminum can with a shape of right circular cylinder is 158.5 sq.in. and…

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Q: Find the volume of a right circular cone that has a height of 6.5 cm and a base with a radius of 8.5…

A: A right circular cone that has height of 6.5cm and a base radius of 8.5cm

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: A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: The paper cup is  9 cm tall and the circular opening has a radius of 2.5 cm. What is the minimum…

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Q: 3.The lateral area of a right circular cone is 386 square centimeters. If the diameter is one-half…

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Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A: We have to find volume right circular cone that has a height of 3.2 m and a base with a radius of…

Q: If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100…

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Q: From a solid cube of side 7 cm , a conical cavity of height 7 cm and radius 3 cm is hollowed out…

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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: Two identical cylinders are tightly packed side by side in a box 12 cm by 6 cm and 4 cm height. Find…

A: To determine the ratio of the volume of the box to the volume of the cylinders.

Q: A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the…

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Q: What is the total surface area of a right circular cone of height 14 cm and base radius 2 cm?

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Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

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Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell…

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Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

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Q: A cylinder has radius 6 cm and height 4 cm. Find the lateral area.

A: Given:         Radius of cylinder r=6 cmHeight of cylinder h=4 cm For a right circular cylinder of…

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

A: calculate the ratio of the slant height to the radius .

Q: A solid steel cylinder has a radius of 2.5 cm and a height of 10 cm. A tight-fitting sleeve is to be…

A: Given that, The radius of steel cylinder = 2.5 cm Height of cylinder = 10 cm Volume of cylinder = pi…

Q: A salt dome building is a cone with a radius of 20 meters and a height of 15 meters. What is the…

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Q: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800 kgf/cu.m).…

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Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

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: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of…

A: We know that the for a cylinder with radius r and height h, Total surface area is 2πrr+h. Lateral…

Q: If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100T…

A: Given that, Diameter of right circular cone d = 10 cm So radius of right circular cone r = 5 cm And…

Q: A frustum of a cone has an area of 2m2 and 5m2 for the upper and lower base respectively, If the…

A: Given:- A frustum of a cone has an area of 2m2 and 5m2 for the upper and lower base respectively, If…

Q: An oblique cylinder has radius of 14 units and a surface area of 1064 square units. What is the…

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Q: A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the…

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Q: if the lateral area of right circular cylinder is 88 and its volume is 220, find its radius

A: A= 88 V = 220 A= 2πrh V = πr²h Now we take ration of volume by area  V/A = πr²h/2πrh r = 2V/A  r =…

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.