5272道题目5525 条题源记录 · 相同内容已合并
表面积・体积与相似立体进阶
The table shows the volume of two similar solids, right circular cylinder A and right circular cylinder B. The radius of right circular cylinder A is 2 units. The surface area of right circular cylinder A is kπ square units, and the surface area of right circular cylinder B is nπ square units, where k and n are constants. What is the value of n-k? (The surface area of a right circular cylinder with radius r and height h is 2πr²+ 2πrh.)
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表面积・体积与相似立体进阶
Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,450 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?
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表面积・体积与相似立体进阶
The density of a certain type of marble stone is 2.6000 grams per cubic centimeter. If a sample of this type of stone is in the shape of a sphere with a diameter of 31.000 centimeters, what is the mass of this sample, in grams, to the nearest whole number? (Use 3.14159 for π .)
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表面积・体积与相似立体挑战
Cube B has a volume of 125 cubic inches. The length of each edge of cube A is k times the length of each edge of cube B. If cube A has a volume of 3,375 cubic inches, what is the value of k?
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表面积・体积与相似立体挑战
A right square pyramid has a height of 6 units and a volume of 128 cubic units. What is the length, in units, of one side of the base of the pyramid?
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表面积・体积与相似立体进阶
The density of a certain type of marble stone is 2.3000 grams per cubic centimeter. If a sample of this type of stone is in the shape of a sphere with a diameter of 33.000 centimeters, what is the mass of this sample, in grams, to the nearest whole number? (Use 3.14159 for π.)
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表面积・体积与相似立体挑战
The table shows the volume of two similar solids, right circular cylinder A and right circular cylinder B. The radius of right circular cylinder A is 7 units. The surface area of right circular cylinder A is \( kπ \) square units, and the surface area of right circular cylinder B is \( nπ \) square units, where k and n are constants. What is the value of \( n−k \)? (The surface area of a right circular cylinder with radius r and height h is \( 2πr^{2}+2πrh \).)
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表面积・体积与相似立体挑战
In the figure, a hollow steel pipe is in the shape of a right circular cylinder. The steel pipe has an outside diameter of 72 inches, a wall thickness of \( \frac{5}{8} \) inches, and a height of 138 inches. Which of the following is closest to the volume, in cubic inches, of the wall of this steel pipe?
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表面积・体积与相似立体挑战
The height of a right circular cylinder is 36 inches, and the circumference of its base is 360 inches. Which expression represents the total surface area, in square inches, of the cylinder?
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表面积・体积与相似立体挑战
A right circular cylinder has a volume of \( 35,152π \) cubic inches. The height of the cylinder is 2 times its radius. What is the radius, in inches, of the cylinder?
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表面积・体积与相似立体进阶
A right circular cylinder has a volume of \( 31,944π \) cubic inches. The height of the cylinder is 3 times its radius. What is the radius, in inches, of the cylinder?
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表面积・体积与相似立体挑战
The figure shown is a trirectangular tetrahedron, a three-dimensional figure with four triangular faces, three of which are right triangles. A chemistry professor uses trirectangular tetrahedrons to create large-scale models of various carbon-based molecules. The base of one of these tetrahedrons is an isosceles right triangle whose legs each have length 14 inches (in). The height of this tetrahedron is 15 in. Which of the following is closest to the volume of this tetrahedron, in pints? (Note: 1 pint = 0.5 quarts; use 1 quart = 57.75 in3. The volume of a trirectangular tetrahedron is equal to \( \frac{1}{3}Sh \), where S is the area of its base and h is its height.)
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