a temporary shelter consists of two hinged sheets each 2m long and 1.5 m wide, the hinges running along the long side. it is propped open, the two sides making an angle theta. at what angle is the volume enclosed maximum?

Q: A 6 × 8 metal plate is resting inside a hemispherical bowl, whose radius is 13. The plate is…

A: A 6 × 8 metal plate is resting inside a hemispherical bowl, whose radius is 13. The plate is…

Q: for

A:

Q: Find the volume of the regular hexagonal pyramid with base ribs 2 cm and height 12 cm

A: Given  A regular hexagon with side of base=2 and,height=12 To find the volume of the hexagon.

Q: Determine the volume (in cm3) of a right prism whose altitude is 4 cm and whose base is a right…

A: The volume of right prism whose base is right angle triangle= Area of base traingle × Altitude of…

Q: A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 3.0 ft and…

A:

Q: A 9 ft wide sheet of metal is used to make a water trough by bending up, at an angle 8, a 3 ft wide…

A: Given: A 9 ft wide sheet of metal is used to make a water trough by bending up, at an angle θ, a 3…

Q: A triangle has a side that measures 6cm, 8cm, and 10cm. Find the exact volume of the solid of…

A: Formula Used: The volume of cone: Where,  r is radius of the base  h is height of the cone.

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

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Q: A tank in the shape of a hemisphere has a radius of  5 feet . If the liquid that fills the tanks has…

A: Given radius of hemisphere (r) = 5 feetdensity of liquid (ρ) = 62.7 pound per cubic feetThe density…

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 volume of the torus (donut) with radii r and R as shown in the figure.

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Q: In a frustum of a cone the radii of the base circles are 35  cm and 9 cm. If the altitude is 2 cm,…

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Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

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: Calculate the total area of a right prism knowing that its bases are rhombuses with diagonals D=26cm…

A: