A cylindrical tank to hold gasoline at a gas station is designed to have a height equal to twice the diameter of its base. What must be the diameter of the base, to the nearest centimeter, if the tank is to hold 1000 liters?

Q: If the height h at the center of the tent is to be 6 feet and the length l of the tent is to be 7…

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Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches     Find How…

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

A: Consider two containers which are in the shape of a cylinder.  Dimensions of container A: Diameter…

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

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Q: From a helicopter 12.8 m above a rest house, a boat is sight at a distance of 30.1 m. How far is the…

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Q: he volume of a cylinder in terms of pi with a radius of 3 mm and height of 10 mm is 90π mm3. True…

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Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the…

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Q: A piece of wire measuring 20ft is attached to a telephone pole as a guy wire. The distance along the…

A: A piece of wire measuring 20ft is attached to a telephone pole as a guy wire. The distance along the…

Q: A rectangular garden has an area of 12 ft by 5 ft. A gravel path of equal width is to be built…

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Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Given query is to find the height where ladder touches the wall

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

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

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Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

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Q: he surface area of a hemispherical dome whose diameter is 36 ft. is to be covered with gold leaf…

A: Diameter of hemispherical dome = 36 feet                                  Radius = 362…

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

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Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

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Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

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Q: A roof in the shape of a cone has a diameter of 15 feet and a slant geight of 18 feet. If one box of…

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Q: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

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Q: The volume of a truncated prism with a square as it horizontal base is equal to 5000 cubic inches.…

A: Given that, The volume of a truncated prism with a square as it horizontal base is equal to 5000…

Q: The cage containing exotic birds is in the shape of a pentagonal prism. If the side length is 17…

A: We will solve the following.

Q: A ladder 40.2 ft long is leaning against an embankment inclined 70.4° to the horizontal. If the…

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Q: A company makes square-pyramid-shaped tents with a height of 6 feet and a base with a side length of…

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Q: A cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius of the…

A: Given the height of a cylinder h=12inch and radius of the cylinder r=4inch We need to find the…

Q: The ends of a rope are held in place at the top of two posts, 9 m apart and each one 8 m high. If…

A: Solution : -      In the problem above, we assume that 8m is our y or the lowest point of the…

Q: The top and bottom margins of a poster_are 6 cm and the side margins are 4 cm. If the area of the…

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Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If…

A: Given that, the sum of the external and internal radii is 14 cm and the width is 4 cm. The height of…

Q: For a given box, the height measures 3m. If the length of the rectangular base is 2m greater than…

A: Given: For a box,  Height is, h= 3 m Length is, l=b+2 m , here b is the width of the box. Lateral…

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

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

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Q: A baseball diamond is in Second base the shape of a square with 90-ft sides. How far is it from home…

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Q: The primary bedroom is 5 m by 4 m with a height of 2.5 m. Given that paint costs $1.39 per square…

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Q: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: A cylindrical pitcher has a volume of 60 cubic inches. Andrea pours lemonade into conical glasses…

A: The volume of a cone is given by the expression V=13πr2h. Here, r is the radius of the cone and h is…

Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: The distance around the Earth's equator is 40,077 kilometers, and the population of the United…

A: Given that, Distance around Earth's equator = 40077km We know that , 1km=105 cm Therefore,…

Q: The sphere below on the left has a radius r = 3 cm. If the sphere is enlarged by a factor of 4, how…

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Q: the total area of a cone is 125 pi cm^2 if its dimensions are increased to five times their original…

A: The total area of cone is A=πrr+l where r is the radius and l is the slant height.

Q: A margarine tub has the shape of a frustum of a cone. With the lower base having diameter length 11…

A: Given: A margarine tub has the shape of a frustum of a cone. The lower base of a margarine tub:…

Q: A packing box has a volume of 30 cubic inches. How much would a similar box with twice the…

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

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Q: The two figures represent the dimensions of the scale drawing of an actual field and the actual…

A: Given the two figures which represent the dimension of the scale drawing of an actual field and the…

Q: A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m.…

A: Given Data- Length of swimming pool = 28 m Breadth of swimming pool = 13 m Depth of swimming pool =…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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

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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.