Refer to the diagram shown below.
In spherical coordinates,
r² = x² + y² + z²
x = r sinφ cos θ
y = r sinφ sin θ
z = r cosφ
The element of volume is
dV = r² sinφ dr dθ dφ
Therefore, for the sphere with radius = 3,
The integration yields
Answer: 1250π
Answer:
H, (3.5,-3), B, (3.5,5)
Step-by-step explanation:
Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.
Answer:
because all the fans have left
Step-by-step explanation: