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2 years ago

4. The volume of the ball is 3052.08. What is its radius?

Mathematics

1 answer:

Olin [163]2 years ago

7 0

Answer:

Step-by-step explanation:

v=4pi*r^3/3=3052.08

4*3.14/3*r^3=3052.08

4.2*r^3=3052.08

r^3=3052.08/4.2=726.7

so r ≈9

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Read 2 more answers

The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

$=\frac12(\textrm{ sum of parallel sides})\times height$

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

$=\frac 12 (b_1+b_2)\times8$ in²

$=\frac12 (b_2+6+b_2)\times 8$ in²

$=\frac12(2b_2+6)\times8$ in²

According to the problem,

$\frac12(2b_2+6)\times8 =96$

$\Rightarrow 2b_2+6=\frac{96\times 2}{8}$ [ Multiplying $\frac28$ ]

$\Rightarrow 2b_2+6=24$

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$\Rightarrow 2b_2=18$

$\Rightarrow b_2=\frac{18}{2}$

$\Rightarrow b_2=9$

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