Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3
They each get half a slice of pizza
Given:
Compound shape
To find:
The area of the compound shape.
Solution:
The compound shape is splitted into two parallelograms.
<u>Bottom parallelogram:</u>
Base = 7.5 cm
Height = 5 cm
Area of the parallelogram = base × height
= 7.5 × 5
= 37.5 cm²
The area of the Bottom parallelogram 37.5 cm².
<u>Top parallelogram:</u>
Base = 7.5 cm
Height = 4.5 cm
Area of the parallelogram = base × height
= 7.5 × 4.5
= 33.75 cm²
The area of the top parallelogram 33.75 cm².
Compound shape = 37.5 + 33.75
= 71.25 cm²
The area of the compound shape is 71.25 cm².
Angle x = arc tangent (7 / 24)
Angle x = arc tangent (
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