Question

Sebuah pipa berongga dengan diameter alas masing² 10 dm diameter atas 4 dm dan tinggi 4 dm tentukan volum pipa ​

Answer 1

Verified answer

Materi : Bangun Ruang Sisi Lengkung

Tinggi Kerucut yang terpotong

t²/t¹ = r²/r¹

x/( x + 4 ) = 4/10

10x = 4( x + 4 )

10x = 4x + 16

10x - 4x = 16

6x = 16

x = 16/6 cm

x + 4 = 40/6 cm

Volume Kerucut Terpancung

V = ⅓πr²t - ⅓πr²t

V = ⅓.π.10².40/6 - ⅓.π.4².16/6

V = 4.000/18π - 256/18π

V = 3.744/18π

V = 208 × 3,14

V = 653,12 cm³

Semoga bisa membantu

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Answer 2

x/x + 4 = 4/10

4(x + 4) = 10(x)

4(x) + 4(4) + 10x

4x + 16 = 10x

10x = 4x + 16

(10 - 4)x = 16

6x = 16

x1 = 16/6

x2 = 40/6

MAKA :

V = 1/3(3,14(100(40/6) - (1/3(3,14(16(16/6)

= 1/3(3,14(100(40)/6) - (1/3(3,14(16(16)/6)

= 1/3(3,14(4.000/6) - (1/3(3,14(256/6)

= 1/3(3,14(666,6) - (1/3(3,14(42,6)

= 1/3(2.093,124) - 1/3(133,764)

= 2.0932,124/3 - 133,764/3

= 697,708 - 44,588

= 653,12 CM³