If the Surface Area of a cone is 24(pi) cm3 and the radius is 3 cm, what would its
Volume be rounded to the nearest thousandth?

37.699 cm³

Step-by-step explanation:

Sa of cone:

pi×r×l + pi×r²

(3pi × l) + (pi × 3²) = 24pi

3l + 9 = 24

3l = 15

l = 5 (slant height)

Height: h

h² + r² = l²

h² + 3² = 5²

h² = 16

h = 4 cm

Volume = ⅓ × pi × r² × h

= ⅓ × pi × 3² × 4

= 12pi cm³

= 37.69911184 cm³

this doesn't make sense lol