Convert 16 into percentage
2 answers:
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Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid.
Solution:
Radius = 2 in
The value of π = 3.14
<u>Volume of sphere:</u>
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
<u>Volume of cylinder:</u>
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.
- Find x.
To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².
Here,
- Altitude = 1.6 cm.
- Base = 1.2 cm
- Hypotenuse = x
Now, let's solve for x.
Hypotenuse² = Base² + Altitude²
x² = (1.2)² + (1.6)²
x² = 1.44 + 2.56
x² = 4
x = √4
x = <em><u>2</u></em><em><u>.</u></em>
- So, the value of x is <em><u>2</u><u> </u><u>cm.</u></em>
- Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
- To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.