A conicalvesselwhoseinternalradius is 5 cm andheight 24 cmis full of water.The water is emptiedinto a cylindrical vessel withinternalradius 10 cms. Find the height to which the water rises.

Q: The base of a triangular prism is an isosceles right triangle with legs of 10 centimeters. The…

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Q: Find the volume of the rectangular pyramid given its length = 4 cm, width = 5 cm, and height of 8…

A: Given :rectangular pyramid given its length = 4 cmwidth = 5 cm, and height of 8 cm

Q: One cake is rectangular with a length of 14 ​inches, a width of 10 ​inches, and a height of 2…

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Q: Find the volume of the rectangular pyramid given its length = 8 cm, width = 7 cm, and height of 6…

A: Volume

Q: A cone is placed in a rectangular box having: L=6cm, W=6cm and H=6cm. What is the largest capacity…

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Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: A planer takes a 1/16 in. Cut on a plate that is 3 1/2 in. Thick. What is the thickness of the plate…

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Q: Gina stores 160 cubic inches of blocks in a container shaped like a right rectangular prism that has…

A: Given that, the base area of the rectangular prism is 36 square inches and a height is 5 inches.…

Q: Gina stores 160 cubic inches of blocks in a container shaped like a right rectangular prism that has…

A: We have to solve

Q: Can a cone with a diameter of 1 foot fit in a box that is one foot cubed?  Why or why not?

A: The box is 1 foot cubed. Means all sides are of length 1.

Q: A cylindrical water heater in your garage is 4 feet tall and 30 inches in diameter. To save money on…

A: The lateral surface area of a cylinder is given by the expression. Here, r is the radius of the…

Q: What is the area of a trapezoid with bases of length 2.9 cm, 1.3 cm, and a height of 0.9 cm? 0.92…

A: Given: length is b1=2.9 cm &b2=1.3cm height is 0.9 cm We know that, Area=12b1+b2h

Q: Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m.…

A: In order to between the tank and part of fence, formula for area of a sector has to be used. Area of…

Q: What is the volume, in cubic yards, of a pyramid that has a height of 10 yards and a square base…

A: Solution volume of pyramid = square base x height/3

Q: Find the largest trapezoid that can be inscribed in a circle with a radius of 5 cm so that its base…

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Q: What is the volume of a cone if the base is 12m and the height is 4m?

A: Use formula to calculate volume

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: What is the lateral area of this rectangular prism?(the base is 2*5)

A: Given rectangular prism dimensions asHeight (h) = 2 cmWidth (w) = 5 cm andLength (l) = 10 cm

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: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: A company wanted to manufacture 1000 hemispherical basins from a thin steel sheet .If the radius of…

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Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: a rectangular prism tank has a base with a length of 40 inches a width of 35 inches and a height of…

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Q: A 30 ft. laddder is leaning against a building.  If the base of the latter is 19 ft from the base of…

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Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

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Q: What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a…

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Q: A rectangular pyramid has a base that is 16 inches long and 8 inches wide. The Volume of the pyramid…

A: Here we given Length =16 inches Width = 8inches Volume=640 cubic inches

Q: Explain why the volume of the oblique prism below, which has the same base and height as the…

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Q: An Ice cream cone is 10 centimeters deep and has a diameter of 8 centimeters. A scoop of ice cream…

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Q: A 50cm board leans against a wall to make a shape of a right angled triangle. What is the max…

A: To find the max perimeter of the right angled triangle.

Q: A cylindrically-shaped paper drinking cup is to be made to hold 27 cm³ of water. Find the height and…

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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 trapezoidal window has a height of 18 centimeters. The bases of the window are 34 and 28…

A: To find: The area of the trapezoidal window. Given: The height of the window is 18 cm, the length of…

Q: The measures of the bases of a trapezoid are 14 and 20. What is the measure of the mldsegment of the…

A: Given, the measures of the bases of a trapezoid are 14 and 20.

Q: A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.…

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Q: A pole 25 feet long is carried horizontally along a corridor 15 feet wide and into a secon corridor…

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Q: What is the volume of a cone with a base whose radius is 7 feet and height is 5 feet?

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Q: A seamstress needs to cover a box that is 10 cm long 6 cm high and 4 cm wide with material on al the…

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Q: The heigh of a sqare pyramid is 21 cm, the length of the sides of the square is 40 cm. What are the…

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Q: The base of a right prism is an equilateral triangle whose edges is 10cm each and it lateral edge is…

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Q: he base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge is…

A: Given: The base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral…

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The Volume of the regular hexagonal pyramid with altitude h and side length a is define as…

Q: Three pipes, each of radius 4 inches, are stacked. What is the height of the stack?

A: Consider the three pipes of the  radius is 4 in and the diagram for it is shown in figure below.

Q: An open rectangular box with square ends is to be built to hold 392 ft³ at a cost of Php 75/ft? for…

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Q: A concrete forming "paper" tube is used to void a column as shown. The walls must be 3.00 in. thick,…

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Q: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of…

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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: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…