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3 years ago

The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it

Mathematics

1 answer:

kakasveta [241]3 years ago

6 0

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

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Read 2 more answers

Simplify √(x^2-10x+25) if -5≤x<5

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$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's simplify ~

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 5x - 5x + 25 }$

$\qquad \sf \dashrightarrow \: \sqrt{ {x}^{} (x- 5) - 5(x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) (x - 5) }$

$\qquad \sf \dashrightarrow \: \sqrt{ (x- 5) {}^{2} }$

$\qquad \sf \dashrightarrow \: (x- 5)$

value x lies between :

$\qquad \sf \dashrightarrow \: - 5 \leqslant x \leqslant 5$

if the value of x is taken -5

$\qquad \sf \dashrightarrow \: - 5 - 5$

$\qquad \sf \dashrightarrow \: - 10$

if value of x is taken as 5

$\qquad \sf \dashrightarrow \:5 - 5$

$\qquad \sf \dashrightarrow \:0$

So, the possible values of the required expression lies between ~

$\qquad \sf \dashrightarrow \: - 10 \leqslant \sqrt{ {x}^{2} - 10x + 25 } < 0$

I hope you understood the whole procedure. let me know if you have any doubts in given steps ~

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