Answer:
- cylinder — 90π in³
- pyramid — 37 1/3 in³
- cone — 12.5π in³
Step-by-step explanation:
The volume of a cylinder is given by ...
V = Bh . . . . . where B is the base area and h is the height
The volume of a pyramid or cone is given by ...
V = (1/3)Bh . . . . . where B is the base area and h is the height
The area of a square of side length s is ...
A = s²
The area of a circle of radius r is ...
A = πr²
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Using these formulas, the volumes of these objects are ...
cylinder: (9π in²)(10 in) = 90π in³
square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³
cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid
15.
To find this, here is the work in the photo attached:
Find answer is the given attachment
Answer:
4 hours
Step-by-step explanation:
If the circumference of the circular garden =63 yards
Circumference of a Circle =2πr=πd (d=diameter)
Therefore:
πd= 63
diameter of the circular garden =63/3.14=20 yards
If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:
20 yards/5 yard per hours = 4 hours
It will take him 4 hours to dig across the circular garden.
Answer:
Actual volume=3,773,000 in³
Step-by-step explanation:
Scale 1:35
Actual Width=Model Width×Scale factor=(2×35)=70 inches
Actual Length=Model Length×Scale factor=(11×35)=385 inches
Actual Height=Model Height×Scale factor=(4×35)=140 inches
Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³
Actual volume=3,773,000 in³
