A conical paper cup is tohold a fixed volume of water. Find the ratio of height to base radius of the cone which minimizes the amount of pater needed to make the cup. Use the formula πr√(r^2+h^2) for the area of the side of a cone, called the lateral area of the cone.

Q: A sphere has a radius of 9 inches. what is the volume of the sphere in cubic inches in terms of

A:

Q: The lateral area of a right circular cone is 386 square centimeters. If the diameter is one-half its…

A: Image is attached with detailed explanation.

Q: 2. Find how fast the volume, surface area and diagonal of a cube as the length of the edge

A:

Q: The diameter of a sphere is measured to be 40 cm.if an error of 0.02cm is made in it, thenfind the…

A:

Q: suppose that a can has a radius of 0.8 inches and a height of 3.2 inches how much soup would be able…

A:

Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A:

Q: A sphere has a diameter of 2 yards. What is its surface area? Use n = 3.14 and round your answer to…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which has the greatest surface area: two pizzas that have 10 inch diameters or one pizza that has a…

A: The diameter of the small pizzas is 10 inch and that of larger one is 20 inch. So, the radius of…

Q: The volume of a right cone is 23257 units³ If its radius measures 15 units, find its height.

A: We know that volume of a right circular cone of radius 'r' and height 'h' is given by formula in…

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: A circle's or sphere's circumference is equal to 6.2832 times its radius. The circumference of the…

Q: The surface area of a right rectangular prism is 5,422 in. If the base is 23 x 31, find the height.…

A:

Q: One can of pumpkin pie mix will make a pie of diameter 8 in. If two cans of pie mix are used to make…

A: Given one can of pumpkin pie mix makes 8 in. diameter pie To find diameter of the pie which two cans…

Q: My rectangular cabbage patch has a total area of 80 sq. ft. Find its perimeter in terms of the width…

A: Given the data:

Q: The circumference of a circle is 100 cm. If the radius is increased by 0.1 cm, find the approximate…

A: Follow the procedure given below the.

Q: write a formula that expresses a volume V of the cube in terms of its side length X

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: Find the volume of a cone with a base circumference of 19π cm and a height 6 cm less than twice the…

A: base of the cone is circle

Q: An Closed rectangular tank with a squarc base can accommodate 1,922 Cubic feet of water. Find the…

A: According to question, Volume of rectangular tank = 1922 cubic feet

Q: The height of a cone is measured as 9.3 cm and the radius as 3.2 cm. Each measurement could be off…

A: Given: Let h and r be the height and radius of cone respectively. h=9.3 cmr=3.2 cm The maximum error…

Q: A cylinder has a volume of 78cm. What is the volume of a cone with the same radius and height?

A:

Q: margerate has a cube that has a surface area of 150 suare units. what s the coume of the cube?

A: The surface area of the cube is given by Surface Area = 150 square units To evaluate : The volume of…

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5:3. If the…

A: Given that the ratio of slant height to the radius of right circular cone is 5:3 and the volume of…

Q: / The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone…

A: Given surface area of sphere of radius 5cm is five times the area of curved surface of a cone of…

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: In calculus, it can be shown that the largest possible volume for the inscribed right circular…

A: Inscribe a cylinder in a sphere. We draw the cross section of the solid as follows   Let  be the…

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

A:

Q: The diameter of a sphere is measured to be 40 cm.if an error of 0.02cm is made in it,thenfind the…

A:

Q: A cube of side 4 cm is cut into 1 m cubes . WHatis the ratio of the surface areas of the original…

A:

Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…

A:

Q: the volume of a rectangular box is 46cm^3, find the side lengths that minimize surface area

A: Please see the explanation below..

Q: A regular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the…

A: Let us take the length of the side of the hexagon as x, then the perimeter is 6x.

Q: The volume of a right circular cone is 36π. If its altitude is 2, find its radius?

A: From the given ques  the volume of the right circular cone (v) = 36π and the altiitude (h) = 2 R = ?…

Q: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in. Estimate the…

A: Given: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in.

Q: Find the increased in volume of a cylinder if the radius will be doubled and the altitude will be…

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…

A:

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

A:

Q: he's fear has the volume of 4189 cm³. What is the approximate radius of the sphere

A: Option D correct  Ans: 10cm

Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

A:

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

A:

Q: The curved surface area of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Find the ratio…

A:

Q: Find the total surface area of the triangular prism if x = 17 cm y = 11 cm and z = 19.1 cm Round to…

A: Total surface area of a prism = Lateral surface area + Total base area Where, Lateral surface area =…

Q: make a shape that has an area of 24in2 but has no straight edges and is not a cirlce. how do you…

A: We know that, the area of an ellipse =πr1r2 unit2. Where major axis=2r1, minor axis=2r2.

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: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of…

A: We know that the for a cylinder with radius r and height h, Total surface area is 2πrr+h. Lateral…

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

A:

Q: find the surface area of a cylinder whose height is 3 yd and radius is 8 yd. round to the nearest…

A:

Q: . The volume of a cylinder is 84r cm². If the height is 21 cm, find the radius.

A: The volume of cylinder is given by   V=πr2h    ... (*)  where V is the volume of cylinder,       r…