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 height of a right circular cylinder is 31 inches, and the circumference of its base is 310 inches. Which expression represents the total surface area, in square inches, of the cylinder?
原库参考解析
表面积・体积与相似立体进阶
A right circular cylinder has a volume of \( 6,591π \) cubic inches. The height of the cylinder is 3 times its radius. What is the radius, in inches, of the cylinder?
原库参考解析
表面积・体积与相似立体进阶
A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native woodpecker. Each structure has a height of 20 inches. The length of each structure's base is x inches, which is 2 inches more than the width of the structure's base. Which function V gives the volume of each structure, in cubic inches, in terms of the length of the structure's base?
原库参考解析
表面积・体积与相似立体挑战
The height of a right circular cylinder is 21 inches, and the circumference of its base is 210 inches. Which expression represents the total surface area, in square inches, of the cylinder?
原库参考解析
表面积・体积与相似立体挑战
The figure shown is a right rectangular pyramid, where \( l=16 \) units, \( w=8 \) units, and \( h=18 \) units. What is the surface area, in square units, of the pyramid?
原库参考解析
表面积・体积与相似立体挑战
For the right circular cone shown, \( OP \) is a radius of the base and V is the vertex. The cone's lateral surface area, in square meters, is \( rLπ \) , where r is the length, in meters, of \( OP \) and L is the length, in meters, of \( VP \). The cone has a base area of \( 36π \) square meters and a lateral surface area of \( 143π \) square meters. What is the height of the cone, to the nearest meter?
原库参考解析
表面积・体积与相似立体挑战
A right rectangular prism has a base area of 32t square centimeters (cm²). The length of the base of the rectangular prism is \( \frac{16}{3} \) cm, and the height of the rectangular prism is 3 cm. Which expression represents the surface area, in (cm²), of the right rectangular prism?
参考答案
表面积・体积与相似立体挑战
For the right circular cone shown, \( OP \) is a radius of the base and V is the vertex. The cone's lateral surface area, in square meters, is rLπ, where r is the length, in meters, of \( OP \) and L is the length, in meters, of \( VP \). The cone has a base area of 81π square meters and a lateral surface area of 128π square meters. What is the height of the cone, to the nearest meter?
参考答案
表面积・体积与相似立体挑战
Cylinder A is similar to cylinder B. The volume of cylinder A is 5.13 cubic units and the volume of cylinder B is 1.52 cubic units. The surface area of cylinder A is 22.41 square units. What is the surface area, in square units, of cylinder B?
参考答案
表面积・体积与相似立体进阶
The height of a right circular cylinder is 47 inches, and the circumference of its base is 376 inches. Which expression represents the total surface area, in square inches, of the cylinder?
参考答案
表面积・体积与相似立体挑战
A right square prism has a height of 5 units. The volume of the prism is 405 cubic units. What is the length, in units, of an edge of the base?
参考答案
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 \( 2πr^{2}+2πrh \).)
参考答案
