This question is a piece-o-cake if you know the formulas for the area and volume of a sphere, and impossible of you don't.
Area of a sphere = 4 π R² (just happens to be the area of 4 great circles)
Volume of a sphere = (4/3) π R³
We know the area of this sphere's great circle, so we can use the
first formula to find the sphere's radius. Then, once we know the
radius, we can use the second formula to find its volume.
Area of 4 great circles = 4 π R²
Area of ONE great circle = π R²
225 π cm² = π R²
R² = 225 cm²
R = √225cm² = 15 cm .
Now we have a number for R, so off we go to the formula for volume.
Volume = (4/3) π R³
= (4/3) π (15 cm)³
= (4/3) π (3,375 cm³)
= 14,137.17 cm³ (rounded)
This answer feels very good UNTIL you look at the choices.
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I've gone around several loops and twists trying to find out what gives here,
but have come up dry.
The only thing I found is the possibility of a misprint in the question:
If the area of a great circle is 225π cm², then the sphere's AREA is 900π cm².
I'm sure this is not the discrepancy. I'll leave my solution here, and hope
someone else can find why I'm so mismatched with the choices.
Answer:
b=3
Step-by-step explanation:
yes
Answer:
268.08
rounded number- 268
find the number in the whole number place, 8, and look one place to the right for the rounding digit on the right side of the decimal point, 0. round up if this number is greater than or equal to 5, and round down if it is less than 5.
formula for sphere volume- 4/3 (pie- 3.14) r^2
Answer: R(t) = 750 + 0.04t
Step-by-step explanation:
Here's the complete question:
Ebuka's monthly rent is $750. If Ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. Write a function that gives the total cost R(t), in dollars, of Ebuka's rent if he pays it t weeks late.
The above question will be represented by:
R(t) = $750 + (4% × t)
R(t) = 750 + (4/100 × t)
R(t) = 750 + 0.04t
