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3 years ago

Please answer for 10 points

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer:

1. 4.7

2. 5,082

Step-by-step explanation:

1. To find the volume of a cone you use this formula $V=\pi r^{2} \frac{h}{3}$ . The diameter is 3 so to find the radius, divide it by 2 (3/2=1.5) and we know the height. Input the numbers into the formula and solve $V=\pi (1.5)^{2} \frac{4}{3}$ which is equal to $3\pi$ . To find HALF, divide that answer by 2. $3\pi /2= 4.71239$ , round to the nearest tenth, making the answer 4.7!

2. To find the volume of a rectangular prism you use $V=lwh$ . Input the numbers, $V=(30)(12)(16)$ to find the amount of water for the bigger tank (5,760). Now follow the same process to find the amount of water for the smaller tank $V=(12)(6)(9)$ which is 678. Now subtract the smaller tank amount (678) from the larger tank since you're taking the water from the bigger tank to fill the smaller one which equals 5,082.

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Answer:

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Step-by-step explanation:

Please find the attachment.

Let us divide our given image in several parts and then we will find area of different parts.

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$\text{Area of red rectangle part}=6\text{ units}\times 7\text{ units}$

$\text{Area of red rectangle part}=42\text{ units}^2$

Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.

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$\text{Area of green triangle}=3\text{ unit}^2$

Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.

$\text{Area of blue triangle}=\frac{1}{2}\times \text{6 units *2 units}$

$\text{Area of blue triangle}=6\text{ units}^2$

Let us add all these areas to find the area of our figure.

$\text{Area of the figure}=42\text{ units}^2+3\text{ unit}^2+3\text{ unit}^2+6\text{ unit}^2$

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