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lakkis [162]
3 years ago
11

What is the volume of a pyramid that has a base with an area of 81 square feet and a height of 4 feet?

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

108ft³

Step-by-step explanation:

V=(base area) (h/3)   =    81 (4 /3) =108ft³

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3 years ago
Four spheres of a radius 6cm just fit inside a cylinder
aksik [14]

Answer:

The space left inside the cyclinder =36π(h - 24)

step-by-step explanation:

Radius of sphere = 6cm

Diameter of cylinder = 12cm

Radius of cylinder = d / 2 = 12 /2 = 6cm

Formula for volume of a sphere = 4/3 πr³

Formula for volume of volume of a cylinder = πr²h

r = radius

h = height

The volume of one sphere = 4/3πr³

Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³

But radius of the sphere = 6cm

Volume of the sphere = 4 * π * 6³

Volume of the sphere = 864π

Let the space left in the cylinder = x

The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres

x = πr²h - 4πr³

Note : both radius = 6cm and we can just substitue it

x = πr² (h - 4r)

x = π*6² (h - 4*6)

x = 36π (h - 24)

The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.

6 0
3 years ago
Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?
MakcuM [25]

the answer is C.f(x) = 3(x − 8)(x + 2)

7 0
3 years ago
Read 2 more answers
Rounded to the nearest whole number, how many 2ft by 2ft squares will fit into circle that has a diameter of 20 feet?
seraphim [82]

Answer:

79

Step-by-step explanation:

The area of a circle is pi*radius^2; the radius of this circle is 10 (20/2=10). Our area is then 100pi or ~314 square feet. A 2x2 square takes up 4 feet. 314/4 is equal to 78.5, or when rounded, 79

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3 years ago
HELP MY MOM IS GOING TO KILL ME
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Answer:

−a2+17b

Step-by-step explanation:

6 0
3 years ago
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