Math Problem Statement

Rajah di bawah menunjukkan sebuah bekas air berbentuk silinder tertutup. Berapakah isi padu bekas air itu? (Gunakan π = 22/7 , Rumus isi padu silinder = πj^2t)

Solution

The image shows a cylindrical water container with dimensions provided in centimeters. To calculate the volume (isi padu) of the cylinder, we use the formula for the volume of a cylinder:

V=πr2hV = \pi r^2 h

Where:

  • π=227\pi = \frac{22}{7} (as specified in the question),
  • rr is the radius of the base of the cylinder,
  • hh is the height of the cylinder.

From the image:

  • The diameter of the base is 42 cm, so the radius rr is half of that, i.e., r=422=21r = \frac{42}{2} = 21 cm.
  • The height hh is given as 40 cm.

Now, let's calculate the volume.The volume of the cylindrical water container is 55,440 cubic centimeters (cm³).

Would you like any further details or clarifications? Here are 5 related questions to explore further:

  1. How would the volume change if the height of the cylinder increased by 10 cm?
  2. How can you convert the volume from cubic centimeters to liters?
  3. What would be the effect on the volume if the radius were increased by 5 cm?
  4. How does the approximation π=227\pi = \frac{22}{7} affect the result compared to using π=3.1416\pi = 3.1416?
  5. How can you calculate the surface area of this cylindrical container?

Tip: To convert cubic centimeters (cm³) to liters, remember that 1 liter = 1,000 cm³.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Cylinders

Formulas

V = πr^2h (volume of a cylinder)

Theorems

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Suitable Grade Level

Grades 7-9