Luas permukaan kerucut adalah 704 cm².jika diameter kerucut tersebut 14cm. Volume kerucut adalah

Luas permukaan = πr(s + r)
Luas permukaan = π × d/2 × (s + d/2)
704 = 22/7 × 14/2 × (s + 14/2)
704 = 22/7 × 7 × (s + 7)
704 = 22 × ( s + 7)
(s + 7) = 704/22
(s + 7) = 32
s = 32 - 7
s = 25 cm

s² = r² + t²
25² = 7² + t²
625 = 49 + t²
t² = 625 - 49
t² = 576
t = √576
t = 24

Volume = 1/3 × π × r² × t
= 1/3 × 22/7 × 7² × 24
= 1/3 × 22/7 × 49 × 24
= 1/3 × 1.078/7 × 24
= 1/3 × 154 × 24
= 1/3 × 3696
= 1232 cm³