A trough has an open top 0.30 m by 6 m and closed vertical ends which are equilateral triangles 30 cm on each side. It is filled with water to half its depth. Fine the volume of the water in cubic meters. 0.046 0.065 O 0.037 0 058

Q: A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the…

A: Given: A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of…

Q: A cone is formed from a circle of radius 20 cm with a 120° sector removed from the circle. Find the…

A: Given, A cone is formed from a circle of a radius of 20 cm with a 120 sector removed from the…

Q: A grain silo consists of a cylinder with a hemisphere fit perfectly on top. If the cylinder has…

A:

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

A:

Q: An industrial coating 0.1 in. thick isapplied to all sides of a box of dimensions 10 in. by 9 in.…

A: If the dimension of a cuboid is a×b×c Then the total surface area of the cuboid can be given as,…

Q: A regular square pyramid has lateral edges 6√5 cm and base edges of length 12 cm. Determine: a. the…

A: Topic:- Area and volume

Q: A spherical water tank has a dilameter of 33 m. How much water can the tank hold, to the nearest…

A:

Q: A hollow sphere with an inner radius of 5cm and an outer radius of 6 cm is made of a material with a…

A: Mass of Hollow Sphere = 800.5 gram

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:

Q: 1. Find the exact lateral area, surface area and volume of a right cone with a radius of 9 cm and a…

A:

Q: Find the approximate volume of a sphere with radius length r = 2.7 cm.

A: Given: The radius of a sphere is, r=2.7 cm. The volume of a sphere can be calculated as, V=43πr3…

Q: 2. A right circular cone has a lateral area of 2560pi sq.cm. and a base area of 1024pi sq.cm. Find…

A:

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: We have been given the 2 cylinders. First, we have been given cylinder A with a radius of 9 feet and…

Q: 2. A manufacturer drills a hole through the center of a metal sphere of radius 5 inches. The hole…

A: Given: R=5 inches, r=3 inches We know that volumeV of resulting metal ring is given by V=43πR2-r232…

Q: A cylindricall soup can has a diameter of 2.6 in. and is 5.7 in. tall. Find the volume of the can.…

A: topic - volume of cylinder

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

A:

Q: 20. What is the exact volume of a cylinder whose diameter is 10 meters and whose helght is 12…

A:

Q: A cube with surface area of 150 cm2 is drilled from one end to the other end. The opening has a…

A:

Q: A sphere has a volume of V= 2304 in°. Find its surface area. 2 The surface area is in. (Round to the…

A: By using volume and surface area formula of sphere, we find the required surface area.

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: A closed conical vessel has a base radius of 2m and is 6m high. When upright position, the depth of…

A: a) Given  base radius =2m height =6m The volume of cone will be V=13πr2h   =13π·22·6   =8πm3

Q: A) Give the area of the shaded region. B) Give the surface area of a cylinder (A tube with a…

A:

Q: Find volume of the largest regular pyramid of square base that can be cut from s cube of edge “a”…

A: The largest pyramid in a cube is such tha one of the faces of the cube is the base of pyramid  Edge…

Q: 6ft A cone shaped well is drilled into a cylinder with the same base and height. 10 ft What is the…

A:

Q: 22. What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show…

A: The volume of a cone = (1/3) πr2h cubic units Where, ‘r’ is the base radius of the cone ‘h’ is the…

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: A storage bin is shaped as in the figure. The radius of the cylindrical top is 7 ft. The overall…

A:

Q: 5.) The bases of a frustum of a right circular cone are 6 ft. apart and have diameters of 5 ft and 8…

A: topic - volume of frustum

Q: Eight wooden spheres with radii of 3 inches are packed snugly into a square box 12 inches on one…

A: (a)Side of the square box = a = 12 inches.Volume of the box = a3 = 123 = 1728 cubic inches.Radius of…

Q: A dilation with scale factor 3/4 maps a sphere with center C to a concentricsphere.a. What is the…

A: Consider the given information as, A dilation with scale factor 3/4 maps a sphere with center C

Q: A plane intersects the center of a sphere with a volume of about 5,575.3 m3. What is the area of the…

A:

Q: The sphere below has a radius of 8 cm. What is the total volume, rounded to the nearest hundredth?!

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Q: Find the volume of the figure. For calculations involving , give both the exact value and an…

A: Given,

Q: 5. The EXACT surface area of a right cylinder is 7807 in². If the radius is 10 in, find the height,…

A:

Q: A cylindrical soup can has a radius of 1.1 in. and is 4.4 in. tall. Find the volume of the can. (?)…

A: We need to find volume.

Q: A spherical gas tank is 16 m in diameter. a) What is the capacity of the tank ?. b) The external of…

A: given,       spherical tanks diameter = 16 m          i. e. radius = 8 m

Q: The water inside a 5in radius sphere is poured into a larger sphere with a radius of 10in. calculate…

A: Approach: Compare the volume of the small sphere with the volume occupied by the water with height h…

Q: The oblique cone below has a radius of 4 cm and a height of 6 cm. What is the volume of the cone,…

A:

Q: A can of food is a right circular cylinder with a radius of 2.0 in and a height of 5.3 in. Find the…

A: r = 2 in , h = 5.3 in π = 3.14

Q: 6 ft A cone shaped well is drilled into a cylinder with the same base and height. 10ft What is the…

A:

Q: A rectangular solid has a length of 6.6 m, a width of 2.2 m, and a height of 9 m. Find the volume of…

A: A rectangular solid has a length of 6.6 m, a width of 2.2 m, and a height of 9 m.

Q: If the lateral area of a right circular cylinder is 88 and its volume is 220, find the radius. А. 2…

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Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: A sphere is inscribed within a right circular cylinder whose altitude and diameter have equal…

A: Assume length of radius of the sphere be r Then, radius of the base of the cylinder measures r. Let…

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

A:

Q: Find the volume of the largest pyramid of square base that can be cut from s cube of edge a meters.…

A: A pyramid is a solid whose base is a plane polygon and sides are triangles that meets in a common…

Q: Calculate the volume of a cylinder where: a) the area of the base is 30 cm 2 and the height is 6 cm.…

A:

Q: A farmer has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft…

A: Given: heighth of tank is 6ft, radiusr of circular base is 1.5ft We know that volumev of right…

Q: A sphere has a volume of V= 1764 in n. Find its surface area. The surface area is in (Round to the…

A: if R is the radius of a sphere, then volume V=43πR3 surface area S=4πR2

Q: cylindrical

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.