What is the answer to this problem?

Mathematics

1 answer:

Vladimir [108]4 years ago

7 0

Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3

we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)

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<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9