A right circular frustum of a cone has diameters of 10m and 6m respectively. If its slant height is 5m, determine its lateral area.

Q: At what angle in degrees must the cutting plane through the center of the base of the cylinder with…

A: The general formula for the cylinder in a 3D coordinate system is . Here, a is the radius of the…

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

A:

Q: A machinist is required to manufacture a circular metaldisk with area 100 cm2 .(a) What radius…

A: Let the radius = r cm  So the area is =πr2 cm2 .

Q: A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm…

A:

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: A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a solid cone…

A: Given: radiusr and heighth of cylinder is 6cm and 18cm respectively Now, we know that if a solid…

Q: If a right circular cone has a circular base with a diameter of length 14 cm and a volume of 3927…

A:

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: A spherical sector has a volume of 300 cubic meter. What is the radius of the sphere if its sphrical…

A: area of the spherical sector = area of zone × radius /3

Q: 4 in.- 6 in.

A: The lateral surface area of a right cone is L.S.A. = π r l , where l is the slant height of the…

Q: Find the volume of an oblique cone with radius 4 and height 3.5?

A: Given that : Radius ( r) = 4 and height (h) = 3.5 .

Q: Find the total surface area of the cone whose radius is 70 meters and slant height is 10 meters.

A:

Q: A cylindrical water tank has a height of 6 m and a radius of 4 m. How much work is required to empty…

A: To Determine: A cylindrical water tank has a height of 6 m and a radius of 4 m. How much work is…

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

A:

Q: What is the height of a circular cone having a slant height of v(10x ) and a base diameter of 2x?

A: To find: The height of the circular cone. Given: The slant height of the cone is 10x and base…

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

A:

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

A:

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: Develop surface of a cone having base radius 4.5cm and slaint height 10cm.

A: Develop surface of a cone having base radius 4.5cm and slaint height 10cm.

Q: A cone is to be constructed from a sector having a diameter of 72 cm and a central angle of 150°.…

A: given  diameter = 72 cm central angle =150°   to find volume in cubic cm of resulting cone hint…

Q: Find the lateral and total surface area of each pyramid. Round to the nea 1 15 ft 10 ft

A: It is given that ; The length of the base = 10 ft The slant height = 15 ft We have to find the…

Q: The slant height of a right circular cone is 5 m long. The base diameter is 6 m. What is the lateral…

A: The slant height of a right circular cone is 5 m long. The base diameter is 6 m. Radius =3 m

Q: Find the lateral area of a right octagonal prism with height 12 and baseedge 7.

A: Given  The height 12 and base edge 7 of right octagonal prism .

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

A:

Q: The slant height of a right circular cone is 1 m and its height is 2 m. Find the area of its curved…

A: Given: The slant height of a right circular cone is 1 m  height  of a right circular 2 m.  To find:…

Q: Find the volume of a cone to be constructed from a sector having a diameter of 72 cm and a central…

A:

Q: A right circular cone has a slant height of 12 ft and a lateral area of 96™ ft². Find its volume.

A: Let r be the length of radius of base, h be the altitude of the circular coneand l be the length of…

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

A:

Q: The volume of a right circular cone is 36π. If its altitude is 2, find its radius?

A: From the given ques  the volume of the right circular cone (v) = 36π and the altiitude (h) = 2 R = ?…

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: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

A: Given:- Height of the cylinder = 1ft   Surface Area of the cylinder = 12π Sq.ft

Q: Find the area of a trapezoid with an altitude of length 4.2 m and a median of length 6.5 m.

A: Formula use: Area of a trapezoid whose altitude has length h and median has length m is A=hm.

Q: Find the volume of an oblique cylinder whose base radius measures 6 cm. if the line connecting the 2…

A:

Q: What is the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a slant…

A: We have to find the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a…

Q: Calculate the lateral surface area of a hollow lampshade shaped as a frustum of a cone. The lower…

A:

Q: A cone with a circular base of radius 6 cm is to be made so that the distance from the apex of the…

A:

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

A:

Q: Find the lateral surface area of a cone that has a radius of 2 cm and a slant height of 7 cm. 22 and…

A:

Q: A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the bucket's…

A:

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: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: The objective is to find the surface area of a square pyramid

Q: Find the volume of the cone to be constructed from a sector having a diameter of 72 cm and a central…

A: Given: Diameter = 72 cm Central angle = 210

Q: What is the curved surface area of the cone (the base is not included) if the radius is 10cm and the…

A: topic - Curved surface area and area of base of cone r= radius of cone h= height of cone s=slant…

Q: Find the lateral area and volume of the frustum of a right circular cone having a slant height of…

A: Given query is find volume and the lateral area of frustrum.

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

A: to find the volume and lateral area.

Q: What are the approximate surface area and volume of a cone with radius 7 in. and height 24 in?

A:

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.