Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
![r = \sqrt[3]{2025}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B2025%7D%20)
which would be 12.65148998... in.
6 3/4 hours = (6*60)+45 = 405 minutes
7/5 = 1,4
405 minutes * 1,4 = 567 minutes
= Jack spent 9 3/4 hours
Answer:
10 -16 i
Step-by-step explanation:
given,
(3+ 4 i) + (7 − 20 i)
for the given complex number
if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.
now
= (3+ 4 i) + (7 − 20 i)
= (3 + 7) + (4+(-20)) i
= 10 + (-16) i
= 10 -16 i
so, the given answer will be 10 -16 i
Answer:
False and True
Step-by-step explanation: