A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.

Q: A closed cubical box of inner edge 8cm is to be made of tin 1mm thick. Find approximately the volume…

A: Volume of cube = a^3 Where, 'a' is the length of edge of cube.

Q: Approximate the volume of coating on a sphere ofradius 4 in. if the coating is 0.02 in. thick.

A: Given:           radius of sphere is 4 in.coating is 0.02 in thick.

Q: A right circular cylinder has a radius of 5 inches and a height of 8 inches. Find the lateral area,…

A: A cylinder has two flat shaped bases. A cylinder in which the bases are circular in shape and…

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: A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A…

A: Length of container (l) = 10 cm Width (w) = 6 cm Now, Archimedes principle states that the volume of…

Q: The Great Pyramid of Giza has a square base with one side measuring 750 ft and height of 484 ft.…

A: Given : Side of a square base of a pyramid is 750 ft and height is 484 ft

Q: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

A:

Q: A right circular cylinder has a radius of 10 inches and a height of 16 inches. Find the lateral…

A: Lateral surface area = 1005.7 Square inches Total surface area = 1634.28 square inches  Volume of…

Q: A sphere has a diameter of 12 m. Find its volume using π = 3.14 as an approximation.

A:

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: oil

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Q: Determine the height of the right circular cylinder of greatest volume that can be inscribed inside…

A: It is given that,  Radius of cone is, R=4 in Height of cone is, H=12 in   Let semi vertical angle is…

Q: A right rectangular container is 10cm wide and 24cm long and contains water to a depth of 7cm. A…

A:

Q: Find the volume of the solid whose base is an isosceles triangle (with base 6 meters and sides 5…

A: Given a solid whose base is an isosceles triangle (with base 6 meters and sides 5 meters) and whose…

Q: A grain storage building is a hemispherical shell with a radius of 25 meters. What is the volume of…

A: volume and curved surface area of hemisphere is

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: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a…

A:

Q: Approximate the volume of material neededto make a water tumbler of diameter 3 cm and height 9…

A:

Q: A tank in the form of a right circular cone is 5 ft. high and its base is 3 ft. in radius. It is…

A: Solve by using formula of Volume of cone.

Q: Determine the dimensions of the right circular cylinder of greatest volume that can be inscribed…

A: We have to find the dimensions of the right circular cylinder of greatest volume that can be…

Q: Estimate the volume of material in a cylindrical shell with length 30 in., radius 6 in., and shell…

A: Given a cylindrical shell with length 30 in., radius 6 in., and shell thickness 0.5 in

Q: Determine the dimensions of the right-circular cylinder of greatest volume that can be inscribed in…

A:

Q: A closed cylindrical tank is to be made from a material 230.91m2 in area. If the volume of the…

A:

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

A:

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

A:

Q: An open pentagonal prism is made of metal plate and has an outer dimension of 60mm side length and a…

A:

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: Find the volume of the largest right circular cylinder that can be inscribed in a sphere with a…

A: The radius of the sphere is 75mm. Let us assume the radius of the cylinder by rc and rs be the…

Q: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length…

A: suppose that the length of the rectangular piece of sheet metal is y and the width is x so its area…

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: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 44.

A: Given:

Q: An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions…

A:

Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere of…

A:

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

A:

Q: A company wants to build a cylindric closed petroleum barrel with 4 feet height in a way that the…

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: Find the radius of the right circular cone having a lateral area of 544.122 square meter to have a…

A:

Q: a truncated hexagonal right prism has an average lateral edge of 24cm. what is the volume of the…

A:

Q: calculate the volume of the water inside a 6in radius hemispherical bowl if the height of the water…

A: The volume of water of height h inside a hemispherical bowl with radius R.

Q: Find the radius and height of a cylindrical soda can with a volume of 354 cm3 that minimize the…

A:

Q: determine the dimensions of a rectangular tank open at top having the volume of 108 cm^3 and…

A: Finding the dimensions of the box using the given conditions

Q: A hollow glass bowl in the shape of a sphere of radius 4 in. is filled with water to a depth of 3…

A: Given: The radius of the bowl is 4 inches. The depth of the bowl is 3 inches.   Formula used: The…

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

A:

Q: A cheese ball with a spherical appearance has a volume 7238.229 cubic centimeter is to be cut into 4…

A:

Q: A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2  Find the volume of the…

A:

Q: A wooden solid is made up of a cylinder with hemispherical ends. If the whole length of the solid is…

A: Radius of the cylinder, r = 7 cm Height of the Cylinder, h = (84 - 2r) cm…

Q: A closed cylinder of volume 600 cm3 is made using a metal sheet. Find the radius that will require…

A: Let the radius and the height of the cylinder be r and h. Then the volume of the cylinder will be:…

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.