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r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

Let V = 972π,

4

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.