Roboguru

Pertanyaan

Sebuah tabung memiliki jari-jari 14 space text cm end text dan volume 12.320 space text cm end text cubed. Tentukan:
b. luas permukaan tabung

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

luas permukaan tabung adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2.992 space text cm end text squared end cell end table

Pembahasan

Ingat rumus volume dan luas permukaan tabung.

text L end text subscript permukaan space tabung end subscript equals 2 cross times straight pi cross times r cross times open parentheses r plus t close parentheses 

text V end text subscript tabung equals straight pi cross times r squared cross times t 

Keterangan:
r space colon space text jari-jari end text t text end text colon space text tinggi tabung end text

Diketahui:
table attributes columnalign right center left columnspacing 0px end attributes row cell text V end text subscript text tabung end text end subscript end cell equals cell 12.320 space text cm end text cubed end cell row t equals cell 7 space text cm end text end cell end table

Tinggi tabung:

table attributes columnalign right center left columnspacing 0px end attributes row cell text V end text subscript tabung end cell equals cell straight pi cross times r squared cross times t end cell row 12320 equals cell 22 over 7 cross times 14 squared cross times t end cell row 12320 equals cell fraction numerator 22 over denominator stack up diagonal strike 7 with 1 on top end fraction cross times stack up diagonal strike 14 with 2 on top cross times 14 cross times t end cell row 12320 equals cell 22 cross times 2 cross times 14 cross times t end cell row 12320 equals cell 616 t end cell row cell 12320 over 616 end cell equals t row 20 equals t row t equals cell 20 text  cm end text end cell end table

Luas permukaan tabung:

table attributes columnalign right center left columnspacing 0px end attributes row cell text L end text subscript permukaan space tabung end subscript end cell equals cell 2 cross times straight pi cross times r cross times open parentheses r plus t close parentheses end cell row blank equals cell 2 cross times fraction numerator 22 over denominator begin display style stack up diagonal strike 7 with 1 on top end style end fraction cross times stack up diagonal strike 14 with 2 on top cross times open parentheses 14 plus 20 close parentheses end cell row blank equals cell 88 cross times 34 end cell row blank equals cell 2992 space text cm end text squared end cell end table

Dengan demikian luas permukaan tabung adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2.992 space text cm end text squared end cell end table

13

0.0 (0 rating)

Pertanyaan serupa

Tentukan luas dan volum tabung pada gambar di samping?

9

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia