Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in
2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in
total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
Answer:
[1]
[2]
[3]
[4]
[5]
[6]
Step-by-step explanation:
[1] Using the given fractions,
3/8×4/11
Applying the fractions formula for multiplication,
=3×4/8×11
=12/88
Simplifying 12/88, the answer is
=3/22
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋ
[2] Using the given fractions,
8/15×5/6
Applying the fractions formula for multiplication,
=8×5/15×6
=40/90
Simplifying 40/90, the answer is
=4/9
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[3] Using the given fractions,
7/12×3/14
Applying the fractions formula for multiplication,
=7×3/12×14
=21/168
Simplifying 21/168, the answer is
=1/8
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[4] Using the given fractions,
9/20×4/5
Applying the fractions formula for multiplication,
=9×4/20×5
=36/100
Simplifying 36/100, the answer is
=9/25
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[5] Using the given fractions,
7/10×20/21
Applying the fractions formula for multiplication,
=7×20/10×21
=140/210
Simplifying 140/210, the answer is
=2/3
ˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊˋˏˎˊ
[6] First:
Reduce fractions where possible.
Then your initial equation becomes:
4/9×9/20
Applying the fractions formula for multiplication,
=4×9/9×20
=36/180
Simplifying 36/180, the answer is
=1/5
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