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Lesechka [4]
3 years ago
8

Can anybody help solve this?

Mathematics
2 answers:
Inessa [10]3 years ago
3 0

Answer:

ok so. wheres the question

tiny-mole [99]3 years ago
3 0

Answer:

100π and \frac{500\pi }{3}

Step-by-step explanation:

<em>The other picture wouldn’t attach, but the radius is 5.</em>

Surface area = 4πr²

r= 5

4.π5²= 25.4.π = 100π

<em>Volume =</em> \frac{4}{3} \pi r^{3}

r=5

\frac{4}{3} \pi 5^{3} = 125.4.\pi = \frac{500\pi }{3}

Hope this helps ^-^

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15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

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Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

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