Answer:
Step-by-step explanation:
Given the volume of the sphere expressed as V = 4/3πr³
If the balloon is being inflated so that the radius increases at a constant rate r(t) = 12t + 2, the function that represents the volume of the weather balloon in terms of time can be derived by simply substituting r = 12t+2 into the formula for finding the volume of the balloon as shown;
V(t) = 4/3 π(12t+2)³
V(t) = 4π(12t+2)³/3
b) To find the volume of the balloon 12 seconds after inflation begins, we will substitute t = 12 into the resulting equation in (a)
V(12) = 4π(12(12)+2)³/3
V(12) = 4π(144+2)³/3
V(12) = 4π(146)³/3
V(12) = 4π(3,112,136)/3
V(12) = 39,108,254.38/3
V(12) = 13,036,084.79
Volume of the balloon to neatest cube metres is 13,036,085m³
Answer:
114 is the value of x in bottom triangle
Step-by-step explanation:
40+26+x=180
or,66+x=180
or,x=180-66
or,x=144
Answer:
The area of a circle = 314 sq. ft
Step-by-step explanation:
Given:
Radius = 10 ft
pi = 3.14
To Find:
The area of a circle = ?
Solution:
A = pi x r^2
A = 3.14 x (10)^2
A = 3.14 x 100
A = 314 sq. ft
Therefore,
The area of a circle = 314 sq. ft
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Answer:
336x + 624
Step-by-step explanation:
