Trigonometry. • the branch of mathematics that deals with triangles. and their sides and angles. • the study of the relationships between. the sides and angles of triangles, and.

4 0

2 years ago

The radius of a sphere was measured and found to be 20 cm with a possible error in measurement of at most 0.02 cm. What is the m

Elena L [17]

Answer:

D(V) = 100,48 cm³

Step-by-step explanation:

The volume of a sphere is:

V(s) = 4/3 π*r³

Where r is the radius of the sphere

If we take derivative of V respect r

D(V)/ dr = 4/3*3*π*r² ⇒ D(V)/ dr = 4*π*r² ⇒ D(V) = 4*π*r²*dr

We know:

r = 20 cm and dr = 0,02 ( at most)

Then

D(V) = 4*π*(20)²*0.02 cm³

D(V) = 32*π

D(V) = 100,48 cm³

7 0

3 years ago