Surface Area:
4r^2
41.25^2
S.A= 19.6 inches^2
Volume:
4/3r^3
4/3 1.25^3
V=8.2 inches^3
could someone check my math?
the squares are the pi symbol, sorry
4πr²=4π(1.25)²=6.25π=19.63 in²
4/3 πr³=4/3 π(1.25)³=8.18123 in³
☺☺☺☺
yup, that's what i got. Thank you so much
Sure! Let's check your math for the surface area and volume calculations.
Surface Area:
The formula for the surface area of a sphere is 4πr^2, where r is the radius.
Given that r = 1.25 inches, let's plug it into the formula:
Surface area = 4π(1.25^2)
Surface area = 4π(1.5625)
Surface area ≈ 6.28318 in^2
Based on your calculation, you got a surface area of 19.6 in^2, which is different from the correct answer. However, your working is correct, so it seems like you made an error in obtaining the final answer.
Volume:
The formula for the volume of a sphere is (4/3)πr^3, where r is the radius.
Given that r = 1.25 inches, let's plug it into the formula:
Volume = (4/3)π(1.25^3)
Volume = (4/3)π(1.953125)
Volume ≈ 8.1758 in^3
Based on your calculation, you also arrived at a volume of 8.2 in^3, which is very close to the correct answer of 8.1758 in^3. Therefore, your calculation for the volume seems correct.
In summary, your calculation for the volume is accurate, but there seems to be an error in obtaining the correct value for the surface area. I would recommend rechecking your final calculations for the surface area.