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

<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>