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Jika jari-jari alas sebuah kerucut 6 dm dan tingginya 80 cm, hitunglah luas selimut dan luas permukaan kerucut tersebut.

Pertanyaan

Jika jari-jari alas sebuah kerucut 6 dm dan tingginya 80 cm, hitunglah luas selimut dan luas permukaan kerucut tersebut.

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

luas selimutnya adalah begin mathsize 14px style 188 comma 4 space dm squared end style dan luas permukaannnya adalah begin mathsize 14px style 301 comma 44 space dm squared end style.

Pembahasan

 begin mathsize 14px style r equals 6 space dm space space space space space space space space space space space space space space space space space space space space space space space space space space space space space luas space selimut equals πrs t equals 80 space cm equals 8 space dm space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 comma 14 cross times 6 cross times 10 s equals square root of t squared plus r squared end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 188 comma 4 space dm squared space space equals square root of 8 squared plus 6 squared end root space space space space space space space space space space space space space space space space space space space space space luas space permukaan equals luas space alas plus luas space selimut space space equals square root of 64 plus 36 end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals πr squared plus 188 comma 4 space space equals square root of 100 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 comma 14 cross times 6 squared plus 188 comma 4 space space equals 10 space dm space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 301 comma 44 space dm squared end style 

Jadi, luas selimutnya adalah begin mathsize 14px style 188 comma 4 space dm squared end style dan luas permukaannnya adalah begin mathsize 14px style 301 comma 44 space dm squared end style.

260

5.0 (1 rating)

Pertanyaan serupa

Perhatikan gambar kerucut berikut ! Jika kerucut mempunyai diameter alas 16 dm dan tinggi 15 dm, maka luas permukaan kerucut adalah ....

63

0.0

Jawaban terverifikasi

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