If three metallic spheres of radii 6cms,8cms and 10cms are melted to form a single sphere, the diameter of new sphere will be.

Q: What is the area in sq. cm of the circle circumscribed about an equilateral triangle with a side 10…

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Q: Two identical cubes each of total surface area of 294 cm² are joined end to end. What is the total…

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Q: A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 cm',…

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Q: A farmer with 800 fcct of fencing wants to cnclosc a rcctangular arca and then subdivide it into 3…

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Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

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Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: Find the total area (surface area) of a regular dodecahedron (12 faces) if the area of each face is…

A: As we know, The dodecahedron is a regular polyhedron of 12 faces. If the mentioned faces are regular…

Q: A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

A: Given:A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the…

A: Given that the roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet…

Q: What is the surface area of a regular hexagonal pyramid with base side length of 6cm, apothem of 5.2…

A: Surface area of a hexagonal pyramid = 3ab+3bs a is apothem length.b is base length.s is slant…

Q: A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the…

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Q: What is the volume of a square pyramid with base side length of 15 cm and height of 5 cm?

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Q: A poster is to have an area of 210 in^2 with 1 inch margins at the bottom and sides and a 2 inch…

A: The area of the poster is 210 sq inches. let the length and breadth of poster are x and y…

Q: A wooden column has the form of a regular Hexagonal prism. Its base edge is 2 ft. and its height is…

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Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

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Q: A cylinder with radius 7 feet and height 12 feet is shown.

A: Our Aim is to tell the volume of cylinder having radius 7 feet and height 12 feet.

Q: These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the…

A: According to question given thatThese 3 congruent square pyramids can be assembled into a cube.Side…

Q: 6. Find the volume a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

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Q: find the area of the formula of two concentric circle whose radii are 5 inches and 3 inches

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Q: A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet and a height of 1 1/2 feet.…

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Q: Find the lengths of the apothem and the radius of a hexagon whose sides have length 6 cm. regular

A: Given, Polygon is a regular hexagon, The length of the side of the polygon is 6 cm.

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

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Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 10 ft.?

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Q: If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

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Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

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Q: What is the surface area of an octagonal pyramid with slant height 16cm and whose side of octagon…

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Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

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Q: If the 3 cm radius by 20 cm height cone was placed inside the cylinder with the same dimensions, how…

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Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: It is possible for a right hexagonal prism with a volume of 840 cubic feet to have which of these…

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Q: From each corner of a square side 4 cm a quadrant of a circle of radius 1 cm is cut and also a…

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Q: Two identical cubes each of total surface area of 294 cm are joined end to end. What is the total…

A: Given,           Two identical cubes each of total surface area of 294 cm2 are joined end to end. To…

Q: 1. Find the total area of the frustum of a cone whose slant height is 2.6 meters and the radii of…

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Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

Q: These 3 congruent square pyramids can be assembled into a cube with side length 2 feet. What is the…

A: Let's find.

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 dimensions of a cylinder that can fit into a hemisphere of radius 10 inches.

A: Let there is cylinder with radius r and height h that be fit in a hemisphere of radius 10 inches.…

Q: Suppose an oil pan has the rectangular dimensions 14 in. by 16 in. by 3 in. Find its volume (in…

A: From the given information, it is observed that the dimension of oil pan is 14 in. × 16 in. × 3 in.…

Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

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Q: How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm , each…

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Q: What is the surface area of a regular hexagonal pyramid with base side length of 6 cm, apothem of…

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Q: Two regular petagon each with 6 cm sides overlapped each othe such that the overlapping area is a…

A: A decagon is a ten sided polygon.  The area of regular decagon with side a is given by

Q: Suppose that you just completed a nonstop bicycle trip of 5.5 km. You know that each wheel of your…

A: Given Data: The distance covered by the bicycle is: d=5.5 km=5500 m The radius of the wheels of a…

Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

A: Consider the given figure. Given that height of the spherical segment h=5 cm And volume V90 cubic…

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…