The side area of the cone is 15 π cm2 and the length of the generatrix is 5cm The side area of the cone is 15 π cm2 (2 is square), the generatrix length is 5cm, and the bottom radius of the cone is cm The total area is cm 2

The side area of the cone is 15 π cm2 and the length of the generatrix is 5cm The side area of the cone is 15 π cm2 (2 is square), the generatrix length is 5cm, and the bottom radius of the cone is cm The total area is cm 2


Bottom perimeter 2 * 15 π / 5 = 6 π
Bottom radius 6 π / 2 π = 3
Bottom area: 3 * 3 π = 9 π
Total area 9 π + 15 π = 24 π



If the generatrix length of the cone is 5cm and the high line length is 4cm, the bottom area of the cone is () cm2
A. 3πB. 9πC. 16πD. 25π


The bottom radius of the cone is r = 25 − 16 = 9 = 3, and the bottom area of the cone is π R2 = 9 π cm2



A cone with a base area of 12 square centimeters has the same volume as a cube with an edge length of 4 centimeters. The height of the cone is______ Cm


A: the height of a cone is 16 cm. So the answer is: 16



The height of a cone is 8 decimeters, which is equal to the volume of a cube whose edge length is 4 decimeters


Volume of cone: 4 * 4 * 4 = 64 cubic decimeter
Bottom area of cone: 3 * 64 / 8 = 24 square decimeters



The distance from the moving point P to the fixed point F (2,0) is greater than the distance from it to the straight line x + 1 = 0
The distance from the moving point P to the fixed point F (2,0) is greater than the distance from it to the straight line x + 1 = 0.1, (1) the equation for finding the trajectory e of point P, (2) the intersection curve e of the straight line passing through point F is at two points a and B, and the vector OA * vector ob (o is the coordinate origin)


1, X=47+9+7+10
X=7
2,=16



A cone has a base circumference of 15.7 and a height of 6. Cut it in half from its apex. How much more is the sum of its surface area than that of the original cone?
emergency


What is the diameter of the bottom of the cone
15.7÷3.14=5
Cut it in half from its apex, and the surface area increases by two. The bottom is the diameter of the cone's bottom, and the height is the area of the triangle with the cone's height
The surface area has increased
5×6÷2×2=30



It is known that the ratio of the distance from the moving point P to the fixed point F (√ 2.0) to the distance from P to the straight line L: x = 2 √ 2 is √ 2 / 2


By the definition of ellipse
c=√2
a^2/c=2√2
a^2=4
b^2=a^2-c^2=2
Equation of trajectory C
x^2/4+y^2/2=1



The circumference of the bottom surface of a cone is 18.84 cm. After cutting it in half along the height from the apex of the cone, the sum of its surface area increases by 24 square cm. The volume of the original cone is calculated


Radius of cone: 18.84 △ 3.14 △ 2 = 3 (CM), diameter: 3 × 2 = 6 (CM), height of cone: 24 △ 2 △ 6 △ 12, = 2 △ 12, = 4 (CM); volume of cone: 13 × 3.14 × 32 × 4, = 3.14 × 3 × 4, = 37.68 (cm3); answer: volume of original cone is 37.68 cm3



The solution set of the inequality | 3x + 6 | > 1 is that the distance from the moving point P to the fixed point F (2,0) is 1 greater than the distance from it to the straight line x + 1 = 0, and the equation of the trajectory e of the point P is obtained


The first problem, 3x + 6 > 1. The solution is x > - 5 / 3
3x+6



If the bottom radius of the cone is 3cm and the height is 4cm, then the side area of the cone is ()
A. 15B. 45C. 15πD. 45π


The radius of the bottom surface of the cone is 3cm, the height is 4cm, the generatrix length of the cone is 5cm, and the side area of the cone is π × 3 × 5 = 15 π