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Volume = π r² t
600 π = π .10². t
600 π = π .100. t
600 π = 100π. t
t = 600 π / 100 π
t = 6 cm
b. Jari-jari = 5 cm dan Luas permukaan = 120 π cm²
LP = 2 π r (r + t)
120 π = 2 .π. 5 (5 + t)
120 π = 10 π (5 + t)
5 + t = 120π / 10 π
5 + t = 12
t = 12 – 5
t = 7 cm
c. V = 224 π cm³ dan d = 8 cm
Volume = π r² t
224 π = π . 4² .t
224 π = π .16. t
t = 224 π / 16 π
t = 14 cm
Baca Juga: KUNCI JAWABAN Matematika Kelas 8 SMP Semester 2 Halaman 31 32 Ayo Kita Berlatih 6.3 Terlengkap 2023
d. LP = 528 π cm² dan t = 13 cm
LP = 2 π r (r + t)
528π = 2 × π × r (r + 13) ( coret π)
528 = 2 × r (r + 13)
528 = 2 r² + 13r
528 = 2 r (r + 13) (kedua ruas dibagi 2)
264 = r² + 13r
r² + 13r – 264 = 0 (difaktorkan)
(r + 24) (r – 11) = 0
r + 24 = 0
r = -24 tidak memenuhi
atau;
r – 11 = 0
r = 11 cm
