Question

A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
Work out the volume of cylinder B.
+
18 cm²
A
5 cm
1
B
61%
10 cm

Answers

  1. The Volume of the Cylinder B is gotten as; 720 cm³

    What is the Volume of the Cylinder?

    We are given 2 similar cylinders with;
    ratio of heights = a : b
    Thus;
    ratio of areas = a² : b²
    We are given that;
    Height of A is 5cm.
    Height of B is 10cm.
    Thus;
    Ratio of heights = 5 : 10 = 1 : 2
    Therefore;
    ratio of areas = 1² : 2² = 1 : 4
    The cross sectional area of B is 4 times the cross sectional area of A. Thus;
    Cross sectional area of B = 4 × 18 = 72 cm²
    Volume of cylinder = cross section area × height
    Volume of cylinder B = 72 × 10 = 720 cm³
    The complete question is;
    A and B are two cylinders that are mathematically similar.
    The area of the cross-section of cylinder A is 18cm².
    Height of A is 5cm.
    Height of B is 10cm.
    Work out the volume of cylinder B
    Read more about Volume of Cylinder at; https://brainly.com/question/9554871
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