Venusa N

20 Februari 2024 01:53

Iklan

Iklan

Venusa N

20 Februari 2024 01:53

Pertanyaan

Bangun ruang terdiri dari tabung dan kerucut, disimpan bertumpuk. Tutup tabung dan alas kerucut berimpit. Tinggi kerucut 24cm. Tinggi 1/3 dari tinggi kerucut. Luas alas nya 154cm. Ditanyakan a. Volume seluruh bangun ruang tersebut b. Luas seluruh permukaan tersebut

Bangun ruang terdiri dari tabung dan kerucut, disimpan bertumpuk. Tutup tabung dan alas kerucut berimpit. Tinggi kerucut 24cm. Tinggi 1/3 dari tinggi kerucut. Luas alas nya 154cm. Ditanyakan 

a. Volume seluruh bangun ruang tersebut

b. Luas seluruh permukaan tersebut

alt

3

1

Jawaban terverifikasi

Iklan

Iklan

Ratih P

20 Februari 2024 23:52

Jawaban terverifikasi

<p>Diketahui :&nbsp;</p><p>Tinggi kerucut = 24 cm</p><p>Tinggi tabung = ⅓ × 24 = 8 cm</p><p>Luas alas = 154 cm</p><p>&nbsp;</p><p>Ditanya :</p><p>a. Volume total = ....</p><p>b. Luas seluruh permukaan = ...</p><p>&nbsp;</p><p>Luas lingkaran = Luas alas</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 𝞹 r² = 154</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 22/7 × r² = 154</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;r² = 154 × 7/22&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;r² = 49</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; r = √49 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 7 cm</p><p>&nbsp;</p><p>Sisi kerucut = √r² + t²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √7² + 24²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √49 + 576</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = √625 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 25 cm</p><p>&nbsp;</p><p>a. &nbsp;Volume total = volume kerucut &nbsp;+ volume tabung</p><p>&nbsp; &nbsp; &nbsp; V total = ⅓ 𝞹 r² t + 𝞹 r² t</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =( ⅓ × 22/7 × 7 × 7 × 24 ) + (22/7 × 7 × 7 × 8)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1.234 + 1.234 &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2.468 cm³</p><p>&nbsp;</p><p>b. Luas total = Luas selimut kerucut + Luas selimut tabung + &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Luas alas&nbsp;</p><p>&nbsp; &nbsp; &nbsp;L total = 𝞹 r s + 2 𝞹 r t + 𝞹 r²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (22/7 × 7 × 25 ) + (2 × 22/7 × 7 × 8) + 154</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 550 + 352 + 154</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1.056 cm²</p>

Diketahui : 

Tinggi kerucut = 24 cm

Tinggi tabung = ⅓ × 24 = 8 cm

Luas alas = 154 cm

 

Ditanya :

a. Volume total = ....

b. Luas seluruh permukaan = ...

 

Luas lingkaran = Luas alas

                      𝞹 r² = 154

            22/7 × r² = 154

                         r² = 154 × 7/22 

                         r² = 49

                          r = √49           = 7 cm

 

Sisi kerucut = √r² + t²

                          = √7² + 24²

                          = √49 + 576

                          = √625           = 25 cm

 

a.  Volume total = volume kerucut  + volume tabung

      V total = ⅓ 𝞹 r² t + 𝞹 r² t

                    =( ⅓ × 22/7 × 7 × 7 × 24 ) + (22/7 × 7 × 7 × 8)

                    = 1.234 + 1.234  

                    = 2.468 cm³

 

b. Luas total = Luas selimut kerucut + Luas selimut tabung +                                  Luas alas 

     L total = 𝞹 r s + 2 𝞹 r t + 𝞹 r²

                   = (22/7 × 7 × 25 ) + (2 × 22/7 × 7 × 8) + 154

                   = 550 + 352 + 154

                   = 1.056 cm²


Iklan

Iklan

lock

Yah, akses pembahasan gratismu habis


atau

Dapatkan jawaban pertanyaanmu di AiRIS. Langsung dijawab oleh bestie pintar

Tanya Sekarang

Mau pemahaman lebih dalam untuk soal ini?

Tanya ke Forum

Biar Robosquad lain yang jawab soal kamu

Tanya ke Forum

LATIHAN SOAL GRATIS!

Drill Soal

Latihan soal sesuai topik yang kamu mau untuk persiapan ujian

Cobain Drill Soal

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

Pertanyaan serupa

Sebuah kaleng susu berbentuk tabung dengan panjang jari-jari alas 14 cm dan tinggi 15 cm. kaleng tersebut berisi penuh dengan susu. Volume susu dalam kaleng tersebut adalah...cm³

22

5.0

Jawaban terverifikasi