You put 3 shapes together I believe
Answer:
1 11/24 tablespoons
Step-by-step explanation:
There were 8 mugs in total so:
÷ 8=
Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Full Question:
Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. with a radius of 10 cm
Answer:
The volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³
Step-by-step explanation:
Given
Solid Shape: Sphere
Radius = 10 cm
Required
Find the volume of the sphere
To calculate the volume of a sphere, the following formula is used.
V = ⅓(4πr³)
Where V represents the volume and r represents the radius of the sphere.
Given that r = 10cm,.all we need to do is substitute the value of r in the above formula.
V = ⅓(4πr³) becomes
V = ⅓(4π * 10³)
V = ⅓(4π * 10 * 10 * 10)
V = ⅓(4π * 1,000)
V = ⅓(4,000π)
The above is the value of volume of the sphere in terms of π.
Solving further to get the exact value of volume.
We have to substitute 3.14 for π.
This gives us
V = ⅓(4,000 * 3.14)
V = ⅓(12,560)
V = 4186.666667
V = 4186.67 ---- Approximated
Hence, the volume of the sphere is ⅓(4,000π) cm³ or 4186.67cm³
