Answer:
40 Minutes.
Step-by-step explanation:
The current time = 4:12 p.M.
Emma's mom will be home from work in 70 minutes.
70 minutes = 1 hour 10 Minutes= 1: 10 Hours
Therefore, Emma's Mom will get home by 5: 22 p.m.
Emma has gymnastics lessons at 6 : 00 p.M.
To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.
Emma will have 40 Minutes.
Surface area of the solid = 7.1781 in²
Volume of the solid = 0.804 in³
Explanation:
Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder
surface area of a square prism = 2(lw + lh + wh)
l = length = 1 in
w = length = 1 in
h = height = 1 in
using the value π as it is on the calculator
Base area of a cylinder = πr²
2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927
Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708
Surface area of the solid = 6 - 0.3927 + 1.5708
Surface area of the solid = 7.178 in²
Volume of the solid = Volume of the square prism - volume of the cylinder
Volume of square prism = length × width × height
length = 1 in, width = 1 in, height = 1 in
Volume of the solid = 1 in × 1 in × 1 in = 1 in³
Volume of a cylinder = πr²h
Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196
Volume of the solid = 1 - 0.196
Volume of the solid = 0.804 in³