At what angle in degrees must the cutting plane through the center of the base of the cylinder with radius 1 cm be made so that the volume is 41 cu. Cm

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: A cylindrical can with a height of 6 inches and radius of 1 inch is filled with a solid rectangular…

A:

Q: What is the surface area of a cone with a radius of 3 meters and a slant height of 4 meters? Round…

A:

Q: the volumes of two spheres are in a ratio of 1 : 8. what is the ratio of their radii?

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

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

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

A:

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

A:

Q: A cone with the same base but a height of 3 times taller than a cylinder with a height of 4 and a…

A: ANSWER :

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: The cone below has a base area of 6π cm2 and a slant height of 14 cm. Find the volume, rounded to…

A: Base area of cone is πr2and l =14  cmBase Area=πr2=6πr2=6r=6 cmNow, by pythagoras…

Q: For an aluminum can, the lateral surface area is 127 in?. If the length of the altitude is 1 in.…

A: Here, the aluminium can is in cylindrical shape.Let,Height of the can = hRadius of the can = rGiven…

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

A:

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

A:

Q: The sphere and cone have equal volumes. 8 in. 4 in. What is the height of the cone? (Note: The dra

A: We have to find the height of cone.

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: 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: 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: What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to…

A:

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: A section of road follows a circular arc with a central angle of 15.6°. The radius of the inside of…

A:

Q: A right square pyramid has 15 cm on a side of its base ana an altitude of 18 cm. Find the area of a…

A:

Q: hree pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

A:

Q: The length of arc AB of a circle with center at O is equal to twice the length of the radius r of…

A: Let's first sketch the figure for this question:…

Q: A cone has a height of 30 m and a volume of 990 m3 . What is the radius of the base?

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: Find the largest valume of a cylinder that first into cone has base radium R and height h

A:

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

A:

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

A:

Q: Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

A:

Q: What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the…

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

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

A:

Q: 2. The EXACT surface area of a cylinder is 160n in?. If the radius is 5 in, find the height & the…

A: Given: Surface area of cylinder(A)=160π in2            radius of cylinder(r)=5 in To find: (a)…

Q: A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the…

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: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

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

A:

Q: A hole of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

A:

Q: The covering on a teepee rests on poles that come together at one point at the top. The resulting…

A: In the above question we have to find how much fabric is required for the covering of teepee which…

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

A:

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: The distance between the centers of three circles which are mutually tangent to each other…

A:

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

A:

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

A:

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…

Q: A circular sector has a radius of 20in and an angle of 120O . If this sector is cut out of paper and…

A: Radius of circular sector = 20 inches.…

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.