What’s the correct answer for this question?

A.

Step-by-step explanation:

Diameter = 6 cm

SO,

Radius = 3 cm

Now

Slant Height = 5 cm

for Finding the height , We'll use Pythagorean Theorem

c² = a²+b²

5² = 3² + b²

b² = 5²-3²

b² = 25-9

b² = 16

Taking sqrt on both sides

b = 4

So

Height = 4

Now Finding the volume of cone

V = 1/3(πr²h)

V = 1/3(π)(3)²(4)

V = 12π cm³

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.