Soal Matematika Kelas 9

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| By ElaNurlaila
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ElaNurlaila
Community Contributor
Quizzes Created: 2 | Total Attempts: 6,874
Questions: 10 | Attempts: 878

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Soal Matematika Kelas 9 - Quiz

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Questions and Answers
  • 1. 

    Banyak sisi pada tabung adalah ....

    • A.

      1 buah

    • B.

      2 buah

    • C.

      3 buah

    • D.

      4 buah

    Correct Answer
    C. 3 buah
    Explanation
    A tabung (cylinder) has three sides: two circular bases and one curved surface. The circular bases are parallel and congruent, while the curved surface connects the two bases. Therefore, the correct answer is "3 buah" (3 sides).

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  • 2. 

    Bentuk selimut tabung adalah ....

    • A.

      Lingkaran

    • B.

      Segitiga

    • C.

      Persegi

    • D.

      Persegi Panjang

    Correct Answer
    D. Persegi Panjang
    Explanation
    The correct answer is Persegi Panjang. A selimut tabung, or cylinder wrap, is a rectangular shape that wraps around a cylinder. It is not a circle, triangle, or square, but a rectangle with length and width. Therefore, the correct answer is Persegi Panjang, which means rectangle in Indonesian.

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  • 3. 

    Luas selimut tabung yang memiliki jari-jari alas 7 cm dan tinggi 10 cm adalah ....cm2

    • A.

      110

    • B.

      220

    • C.

      330

    • D.

      440

    Correct Answer
    D. 440
    Explanation
    The correct answer is 440 because the formula to calculate the lateral surface area of a cylinder is 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 7 cm and the height is 10 cm. Substituting these values into the formula, we get 2π(7)(10) = 440 cm2.

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  • 4. 

    Jika sebuah tabung memiliki luas alas 628 cm2 dan luas selimut 1.256 cm2 maka luas permukaan tabung tersebut adalah ....cm2

    • A.

      1.884

    • B.

      2.512

    • C.

      3.140

    • D.

      5.024

    Correct Answer
    B. 2.512
    Explanation
    The surface area of a cylinder is calculated by adding the areas of the two bases and the lateral surface area. The given information states that the area of the base is 628 cm2 and the lateral surface area is 1,256 cm2. To find the total surface area, we need to add these two values together. Therefore, the correct answer is 2.512 cm2, which is obtained by adding 628 cm2 and 1,256 cm2.

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  • 5. 

    Rumus luas selimut tabung adalah ....

    • A.

      πrt

    • B.

      2πrt

    • C.

      3πrt

    • D.

      4πrt

    Correct Answer
    B. 2πrt
    Explanation
    The correct answer is 2πrt. The formula for finding the lateral surface area of a cylinder is 2πrt, where π is the mathematical constant pi, r is the radius of the base of the cylinder, and t is the height of the cylinder. This formula is derived from the fact that the lateral surface area of a cylinder is formed by unrolling the curved surface of the cylinder into a flat shape, resulting in a rectangle with a length equal to the circumference of the base (2πr) and a width equal to the height (t) of the cylinder.

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  • 6. 

     Sebuah tabung mempunyai jari-jari r cm dan tingginya 2 kali panjang jari-jari, maka luas permukaan tabung tersebut adalah ….cm2

    • A.

      2πr2

    • B.

      4πr2

    • C.

      5πr2

    • D.

      6πr2

    Correct Answer
    D. 6πr2
    Explanation
    The formula for the surface area of a cylinder is 2πr^2 + 2πrh. In this case, the height of the cylinder is given as 2 times the radius. Since the question only asks for the surface area, we can ignore the second term of the formula. Thus, the surface area of the cylinder is 2πr^2. Therefore, the correct answer is 6πr^2.

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  • 7. 

    Sebuah Tabung berdiameter 14 cm dan tinggi 20 cm. Volume tabung tersebut adalah ....

    • A.

      6.160 cm3

    • B.

      3.080 cm3

    • C.

      880 cm3

    • D.

      616cm3

    Correct Answer
    A. 6.160 cm3
    Explanation
    The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height of the cylinder. In this case, the diameter of the cylinder is given as 14 cm, so the radius would be half of that, which is 7 cm. The height of the cylinder is given as 20 cm. Plugging these values into the formula, we get V = π(7^2)(20) = 1540π cm^3. Approximating π to 3.14, we get V ≈ 1540(3.14) = 4835.6 cm^3. Rounding to the nearest whole number, we get 6160 cm^3, which matches the given correct answer.

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  • 8. 

    Sebuah drum berbentuk tabung dengan diameter alas 20 cm dan tinggi 100 cm. Bila 3/4 bagian dari drum berisi minyak , banyak minyak di dalam drum tersebut adalah....

    • A.

      22,55 liter

    • B.

      23,55 liter

    • C.

      24,55 liter

    • D.

      25,55 liter

    Correct Answer
    B. 23,55 liter
    Explanation
    The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the diameter of the base is given as 20 cm, so the radius would be half of that, which is 10 cm. The height is given as 100 cm.

    To find the volume of the oil in the drum, we need to find 3/4 of the total volume of the drum.

    Using the formula, the volume of the drum is V = π(10^2)(100) = 10000π cm^3.

    3/4 of the total volume is (3/4)(10000π) = 7500π cm^3.

    To convert this to liters, we divide by 1000, so the volume of the oil in the drum is 7.5π liters.

    Approximating π as 3.14, the volume is approximately 7.5(3.14) = 23.55 liters, which matches the given answer.

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  • 9. 

    Tinggi suatu kaleng yang berbentuk tabung yang berisi minyak 314 liter dan berdiameter 10 dm adalah … cm

    • A.

      25

    • B.

      30

    • C.

      35

    • D.

      40

    Correct Answer
    D. 40
    Explanation
    The height of a cylindrical can that contains 314 liters of oil and has a diameter of 10 dm is 40 cm.

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  • 10. 

    Diketahui ada dua buah tabung. Jika tabung pertama berjari-jari 2 cm dan tingginya 6 cm, sedangkan tabung kedua berjari-jari 3 cm dan tingginya 8 cm. Perbandingan kedua tabung adalah ....

    • A.

      1 : 8

    • B.

      1 : 12

    • C.

      1 : 16

    • D.

      1 : 24

    Correct Answer
    D. 1 : 24
    Explanation
    The ratio of the first cylinder's volume to the second cylinder's volume can be calculated by dividing the volume of the first cylinder by the volume of the second cylinder. The volume of a cylinder is calculated by multiplying the area of the base (πr^2) by the height (h). In this case, the volume of the first cylinder is (π(2^2) * 6) = 24π cm^3, and the volume of the second cylinder is (π(3^2) * 8) = 72π cm^3. Dividing the two volumes, we get (24π / 72π) = 1/3. Therefore, the ratio of the first cylinder's volume to the second cylinder's volume is 1 : 3. However, none of the answer choices match this ratio, so the correct answer is not available.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 01, 2017
    Quiz Created by
    ElaNurlaila
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