26.) A cylindrical water tank has a diameter of 9 inches and a height of 12 inches. The water surface is 2.5 inches from the top. About how much water is in the tank?

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area  of sphere =4πr2

Q: The volume of a frustum of a regular triangle pyramid is 135 cu. m. The lower base is an equilateral…

A:

Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimeter of the…

A:

Q: 2. Imagine a very huge industrial metallic bucket is in the shape of the frustum of a right circular…

A: Given is a frustum of radius 5m and 2m  and height 4m .

Q: Suppose planet A’s diameter is approximately 6 times planet B’s and both bodies are spheres. What is…

A:

Q: 8. Determine the minimum surface area of a rectangular prism box (with lid) that could just hold 24…

A:

Q: A condominium is to be be constructed in a rectangular lot with a perimeter of 800 m. What is the…

A:

Q: The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with…

A: According to the given problem, Height of cylinder,  Height of cone,  Given that the radius of the…

Q: 49. A rental truck has a cargo capacity of 288 ft’. A 10-ft pipe just fits resting diagonally on the…

A: Consider that the height of cargo is 6 ft., volume 288 ft2 and length of diagonal of base is 10 ft.…

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft²…

A: Solution: An open rectangular box  volume = 392 ft3 Cost at base = 75 /ft2 Cost at the side = 50…

Q: 2. An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the…

A:

Q: 9. A cylindrical fish tank has a diameter of 6 feet and a height of 3 feet. How many tropical fish…

A:

Q: 2. An observatory has the shape of a right circular cylinder surmounted b a hemisphere. If the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 2. The length of a pipe is 50 cm and its inner and outer diameters are 20 cm and 30 cm respectively.…

A: It can be concluded by the dimensions that the pipe is in cylindrical shape.

Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

A:

Q: In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of…

A:

Q: what is the lateral area of a cylinder which has an element of 8 inches and a right section with a…

A: To Determine: what is the lateral area of a cylinder which has an element of 8 inches and a right…

Q: A pentagonal pool is to be constructed with a uniform depth of 6 feet. The dimensions are shown in…

A:

Q: A pentagonal pool is to be constructed with a uniform depth of 6 feet. The dimensions are shown in…

A:

Q: 4. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14m, what is x?*

A: Given- The third side of the triangle =(3x-5) cm Length of midline=14m To find - Value of x Here we…

Q: 10. A cone has a radius of xcm and a slant height of 2xcm. In terms of x, what is: a) its vertical…

A:

Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: Consider the diagram of the trophy as per given information,

Q: 1. Dennis has three identical cylinders filled with water. How many cones should he be able to fill…

A:

Q: horizontal cylindrical tank has an inside diameter of 5 ft and an inside length of 18 ft and…

A:

Q: 10 cm 10 cm 10 cm

A: Solution:GivenA metal sheet of width 30 cm by bending up onethird ofthe sheet on each side through…

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…

A:

Q: 2. A cone has a Volume 7,065 in^3. and a height of 30 inches. What is the radius of the cone?

A: Given height of cone =30 inches Volume=7065 in3

Q: The volume of a spherical balloon with radius 4.2 cm is about 310 cm3. Estimate the volume of a…

A: Formula to find the volume of the sphere helps to find the required volume of the spherical volume.…

Q: 5. The volume of a cone is 96 n cubic inches. Its height is 2 inches. What is its radius? What is…

A: Given that: Volume of a cone, V=96π in3Height of cone, h=2 inSlant height, l=4 in

Q: 5) An aquarium tank in the shape of a rectangular prism is 20 inches long by 16 inches wide by 12…

A: The tank dimensions are  Length l = 20 inches Width b = 16 inches Height h = 12 inches

Q: Suppose planet A's diameter is approximately 6 times planet B's and bodies are spheres. What is the…

A: suppose plant A's diameter is approximately 6 times plant B's and bodies are spherewhat is the ratio…

Q: Omar the tent maker wishes to support a 13.5-ft tent wall by attaching 22-ft cable to the top of it,…

A: 13.5 ft tent wall is supported by a 22 ft cable by anchoring the cable to the ground. We can see…

Q: 7. A cylindrical can has a diameter of 7 cm and a height of 10 cm. Neglecting for the seam…

A: Since you have posted multiple problems we will provide solution for first problem only if you need…

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

A:

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: NOTE: Refresh your page if you can't see any equations. . here we have and in the question given…

Q: 10. A page is to contain 54 sq. cm. of printed material. If the margins are 1cm at the top and…

A:

Q: 2) A pile of sand poured out onto Teds driveway into coniral shape. Ted wants to know if he can fit…

A: pile is of 4 ft wide and 1.5 ft high Therefore, radius = 42=2 ft height = 1.5 ft

Q: Stephen is comparing two solids. The first solid is a cone with a radius of 5 cm and a height of 9…

A: Given,         The first solid is a cone with a radius of 5 cm and a height of 9 cm.         The…

Q: 2. The height of a cone shaped tank for liquid storage in a chemical factory is 9 ft with a diameter…

A: Topic:- volume of cone

Q: Find the volume of a cone with a base area of 36π cm. and a height of 2 cm less than the radius.…

A:

Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The English Channel Tunnel, or "Chunnel," runs a distance of 50.45 kilometers from Dover, England,…

A: It is given that the tunnel is shaped like a half cylinder with radius 4 meters and distance of…

Q: 4. The height of a cylindrical vessel that will hold 20 L is equal to the diameter. Find the…

A: To find the altitude and radius of given cylinder. Given that height of cylinder, h, is equals to…

Q: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft…

A: Given: A goat is tethered to a barn by a 12-ft chain. Also the chain is connected to the barn at a…

Q: 2. Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet…

A:

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

A:

Q: The volume of a truncated prism with an equilateral triangle as its horizontal base is equal to 3500…

A:

Q: 1. The diagonal of Andre's rectangular TV screen is 39 inches. The width of his TV screen is 34…

A:

Q: 1. The inside of a wash basin is in the shape of a segment of a sphere; the distance across the top…

A: Calculation of Required Volume.

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…

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.