A right circular cone has a volume of 128π/3 cm3 and an altitude of 8 cm. The lateral area is

Q: A can of corn is 4 inches tall, and the diameter of the can is 2- inches. Ignoring the overlap vhere…

A: Given that: Height of corn can, h=4 inDiameter of can, d=278 in

Q: What is the area in m^2 of a laboratory which is 0.020 km long and 1.0 X 10 m wide?

A: Given,

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: What is the magnitude of the electrostatic force between a singly charged sodium ion (Na*, of charge…

A:

Q: The tin can shown at the right has +1½ in.- the indicated dimensions. Estimate the number of square…

A: The cylindrical tin can has radius 1.5 in. and height 4.5 in. The figure is given below:

Q: A rectangular prism has volume of 220cm3. O Given that the length of the prism is 11cm, calculate…

A: It is given that, Volume of the rectangular prism = 220 cm3 a) Given that the length of the prism is…

Q: A 9 inches tall popcorn container is the frustum of a cone. Its small radius is 4.5 inches and its…

A: Finding the volume of frustum of cone

Q: find the height of a right circular cone with its slant height equal to 16cm and total surface area…

A: Given:- Right circular cone with its slant height equal to 16cm and total surface area is 120 pi…

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

A:

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

A:

Q: The surface area and the volume of this box can be found using the formulas

A:

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: A sphere has a volume of V = 324 in. Find its surface area. The surface area is in. (Round to the…

A: Given that  Volume of a sphere is V=324 in^3 To find Surface area of a sphere

Q: Starting with a 200-foot long stone wall, a farmer would like to construct a rectangular enclosure…

A:

Q: Find the volume of a cone with a radius of 3 inches and a height of 7 inches in terms of T.

A: We have to find the volume of cone with given radius 3 inches and a height of 7 inches in terms of…

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: Starting with a 180-foot-long stone wall, a farmer would like to construct a rectangular enclosure…

A: topic - application of derivatives

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

A:

Q: The volume of a rectangular solid is (x³ + 3x² + 2x – 5) cubic cm, and its height is (x + 1)cm. What…

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Q: semicircular

A:

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: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is :  SA = 2 ( WL + HL + HW ) Here L = length  W = Width  H =…

Q: Evaluate (4+ 2x) dA, where R is the rectangle -2 s x s 2, -3 s y s 3, by interpreting it as a known…

A: Follow next step

Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…

A:

Q: Why can SA = 2 x (area of base) + (perimeter of base × height of solid) be used to find the surface…

A: We need to determine the reason behind the use of the formula: SA=2x(area of base)+(perimeter of…

Q: The area of a compact disc is 132.7 square centimeters. What is the diameter of the compact disc?…

A: See the details solution in below

Q: Find the total surface area of a right cylinder in terms of pi if the height is 11 centimeters and…

A: We have to find total surface area of right circular cylinder in terms of π where height is 11 cm…

Q: A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions…

A:

Q: A search plane carries radar equipment that can detect metal objects (like submarine periscopes or…

A: The search plane radar equipment can detect objects 15.5 miles away. The plane covers a circular…

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

A: Volume of frustrum of the cone is, V=13πR2H-r2h       ...(1)

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: Starting with a 140-foot-long stone wall, a farmer would like to construct a rectangular enclosure…

A: Given: Length of the stone wall is 140 foot. A rectangular enclosure is added by adding 700 feet of…

Q: The area of the base of a prism can be expressed as x2 + 4x + 1 and theheight of the prism can be…

A: Volume of any solid is given by multiplication of base area and height.

Q: A cube with edges of 2 cm holds 468 grains of rice. How many grains of rice are in a cylinder with a…

A: Answer

Q: A regular pentagon has sides of 20 cm. an inner pentagon with sides of 10 cm is inside and…

A:

Q: Find the height of a cylinder if the surface area is 402 square units and the diameter is 15 ubits.

A: Let the height is= h Given that the diameter= 15 units So the radius= r=152=7.5 units

Q: Find the surface area of the solid. * 5.5 in.

A:

Q: diameter = 6 cm %3D height = %3D volume = 56.52 cm3 %3D

A:

Q: The area of a diagonal section of a cube is 36 square root of 2 sq. cm. What is the volume of the…

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

A: Given:

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: Find the volume of a sphere with a great circle that has an area of 97 cm. Give the answer in terms…

A:

Q: A cylindrical glass jug of diameter 10cm and height 2.7mm is filled with water. Find the surface…

A: Diameter of cylindrical glass jug is 10 cm and height up to water is filled is 2.7 mm=0.27 cm Let…

Q: . A cylinder (not shown) has radius 2.5 cm and lateral area 20n square centimeters. What is the…

A:

Q: Starting with a 80-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: given,             farmer adds fencing of 480feet.

Q: The dimensions of a rectangular solid are in the ratio 1: 3: 12 and its volume is 562.5 cm2. Find…

A:

Q: The dimensions of a rectangular solid are in the ratio 1:3: 12 and its volume is 562.5 cm3. Find the…

A: a rectangular solid whose dimension are in ratio  1:3:12 and volume is 562.5 cm3. So, 1x × 3x × 12x…

Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Introduction: Consider the function f ( x ) with one variable. Using derivatives, the function…

Q: Find the dimensions I x w of a rectangle with area 850yds. whose perimeter is as small as possible.…

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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.