A cone and a sphere have the same volume. If the radius of the cone is half its height, what is 1 the ratio of the radius of the cone to the radius of the sphere? 0.500 0.707 0.794 1.256 2.000

Q: A pail is in the form of an inverted frustum of a cone . When full of water it contains 1.53 gallons…

A: Height of the pail = 42 inch

Q: The scale of a model's volume to the volume of the building is 125 What is the ratio of the sides?…

A: We know the scale of  models volume to the volume of the building, and volume is…

Q: The height of Cylinder A is 26 feet. The height of Cylinder B is 14 feet. What is the ratio of the…

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Q: In building a scale model of a building for a movie explosion, a prop designer has to consider the…

A: Consider the information given in the problem, The original building has a height of 39 feet and…

Q: Two rectangles have a scale factor of 4:1. What is the ratio of the perimeters of these rectangles?

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Q: A cylinder has a diameter of 10 inches and a height of 10 inches. It is only filled halfway with a…

A:

Q: A private shipping company will accept a box for domestic shipment only if the sum of its length and…

A:

Q: sphere with radius R is circumscribed around a cylinder. The cylinder has a radius r and a height…

A: Volume of sphere = 4/3 πr3 volume of cylinder = πr2 h

Q: The Volume of a Volleyball is approximately 113 in^3 . What is its diameter? Round your answer to…

A:

Q: At a certain store, volleyballs with a radius of 4 inches are sold in boxes in the shape of a cube.…

A:

Q: grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo…

A: Given query is to find the volume of the silo.

Q: 7) The radius of a bowling ball is 4.25 inches. Calculate the volume of the bowling ball. A) 283.74…

A: Given that, Radius of a bowling ball is = 4.25 inches we know that, the bowling ball is a solid…

Q: a) Determine the ratio of the volume of the sphere to the volume of the cylinder in this situation.…

A: This is a problem of approximation, projection, Calculus etc.

Q: cylinder has a base diameter of 8 feet and a height of 5 feet what is the volume of cubic feet to…

A: The volume of the cylinder is given by Volume =πr2h

Q: 3. A half-cylinder has diameter 35 cm and height 70 cm. Determine the volume of the half-cylinder.…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: The cylinder shown below has a radius of 3 inches and a height of 8 inches. Which of the following…

A: Volume of cylinder = πr2h  r= radius of cylinder h= height of cylinder

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

A:

Q: Harvey bought two pinatas, one shaped like a soccer ball and one like a basketball. Both pinatas are…

A:

Q: A cylinder has a radius of 6 centimeters and a height of 10 centimeters. What would the height of a…

A: The volume of the cylinder is, V = π•6²•10 cm³  So, V = 360π cm³ Now, the cone has the same radius,…

Q: square pyramid and a triangular pyramid each have a base that measures 36 square inches. The volume…

A:

Q: Square pyramids A and B are similar. In pyramid A, each base edge is 16 cm. In pyramid B, each base…

A: GivenSquare pyramids A and B are similiar.For pyramid A, base edge is 16 cm For  pyramid B, base…

Q: A Sno-Cone at the carnival has the shape of a hemisphere on top of an inverted cone. What is the…

A:

Q: baseball and a softball are similar in shape. The baseball has a radius of 1.25 in and a volume of…

A:

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 18.5 ft and the…

A: Base is square. Perimeter of the base = 18.5 ft 4a = 18.5 a = 18.54 = 4.625 ft

Q: 7. Solid A is similar to Solid B. If the volume of Solid A is 3,240 m3 and the volume of Solid B is…

A:

Q: A cylindrical barrel has a height of 6 feet and a diameter of 6 feet. What is the approximate volume…

A: Use the formula for the volume of cylinder pi. r^2h

Q: Apyrid hasa (a) A pyramid has a height of 497 t and its base covers an area of where in the area of…

A:

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

A: .

Q: Given a cone of diameter d and altitude of H. What percent is the volume of the largest cylinder…

A: Given that a cone of diameter d and altitude of H. To find the percent of the volume of the largest…

Q: In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is…

A: Here we assume planets as sphere. Volume of sphere =(4/3)πr³

Q: A rectangular sheet of cardboard 3 m by 8 m is used to make an open box by cutting squares of equal…

A: According to the given question:Length of cardboard = 8mBreadth of cardboard = 3mA square of equal…

Q: 16 in 16 - 2х 30 in 30- 2х

A: Given: Length of the each sides of a box is L=30-2x ; B=16-2x and H=x

Q: An ice cream cone can be described as a half-sphere of radius 2 inches on top of a cone of eight 5…

A:

Q: 20. The diameter of the moon is 3480 km. How many moons would be need equal to the volume of the…

A: The formula to find the volume of a sphere is given below: Volume=43πr3 where, r is the radius of…

Q: The volume of a hemisphere is 2425  (1/2) cm3 .Find its curved surface area

A: The given volume of hemisphere V = 2425/2 cm3 Let radius of hemisphere = r

Q: If the volume of a cube is 8, what is the total surface area of the cube (A) 2 (В) 4 (С) 16 (D) 24…

A: Formula of volume of cube is a3 a3=8 a=83a=2 Surface area of cube = 6a2 =6(2)2 =6 x 4 =24

Q: 14. If the radius of a cylinder is increased by 20% while maintaining the same height, how much will…

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Q: A baseball with a radius of 1 7/16 inches. Find the lateral area, surface area, and volume. 

A: Given query is to find area and boli of the baseball.

Q: What scale factor should be applied to a solid to produce a volume that is four times as large as…

A: For volume it is a very similar idea, however this time we have three dimensions to take into…

Q: Find the volume of a pyramid with a square base where the perimeter of the base is 12.8m and the…

A:

Q: 7. Solid A is similar to Solid B. If the volume of Solid A is 3,240 m and the volume of Solid B is…

A:

Q: x + 2 4 . If the volume of the box is 252 in', find the value of x.

A: Given:          Volume of the box = 252 in3   To find:            The value of x.

Q: Two cubes have volumes in the ratio 1:64 . The ratio of the area of a face of first cube to that of…

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Q: A large battery is a cylinder with the dimensions shown below. What is the total weight, rounded to…

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Q: If the density of a silver sphere is 10.5g/cm³, and the sphere has a radius of 6.13 cm, what is the…

A:

Q: If the volume ratio of two spheres is 216mm³: 343mm3. What is the ratio of their radii Ratio of…

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Q: You reduce the radius of a sphere to make a new sphere that has a radius of 2 cm. If the ratio of…

A: Volume of the sphere is : 43πr3  ;  where r is the radius of the sphere.   Let the radius of the…

Q: 9. A cone and a pyramid with a square base have the same volume. Knowing that their heights are…

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Q: 24 4 What is the common ratio ( 114 19 What is the Surface Area ratio What is the volume ratio

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.