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aivan3 [116]
4 years ago
13

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met

al is 10.5cm and height is 63cm. How many cubes will be made. ​
Mathematics
1 answer:
Orlov [11]4 years ago
6 0

Answer:

Approximately 809 cubes will be made

Step-by-step explanation:

To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes

The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3

For the cylinder, the formula of the volume to use is

V = π * r^2 * h

The radius here is 10.5 cm and the height is 63 cm

V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3

The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube

That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number

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4 years ago
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4 years ago
Find x.
Vadim26 [7]

The value of x is 28 millimeters in the composite figure of two right-angled triangles lying next to each other

<h3>What is a composite figure?</h3>

A composite figure is a figure that is produced from the combination of two geometric shapes together.

The diagrammatic expression of a composite figure consists of two right-angled triangles lying next to each other can be seen in the image attached below.

For the left-side right-angled triangle, we have:

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Recall from the diagram that:

h² = pq

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x ≅ 28 millimeters

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