Find the volume of it​

946.808 cm²

Step-by-step explanation:

The figure is made up of a cone and a hemisphere.

Volume of a cone is given as;

V_c = ⅓πr²h

Volume of a hemisphere is given as;

V_h = ⅔πr³

In the figure, radius of hemisphere is 6.

Thus; V_h = ⅔π × 6³ = 452.389 cm²

For the cone, height is not given but we can find it from pythagoras theorem.

h = √(6² + (2√(34))²

h = √(36 + (4 × 34))

h = √(172)

Thus;

V_c = ⅓π × 6² × √(172)

V_c = 494.419 cm²

Total area = V_c + V_h = 494.419 + 452.389 = 946.808 cm²

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation: