2 years ago

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Ymorist [56]2 years ago

6 0

Answer:

53.7

Step-by-step explanation:

The area of the rectangular base is 7(2.3)=16.1.

So, the total volume is (1/3)(16.1)(10), which is about 53.7

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xxTIMURxx [149]

<h2>Answer:</h2>

The radius of the cone is:

$r=\dfrac{2}{\sqrt{\pi}}$

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

$T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)$

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

$L.A.=\pi rl=8---------(2)$

Hence, from equation (1) and (2) we have:

$8+\pi r^2=12\\\\\\i.e.\\\\\\\pi r^2=4$

i.e.

$r^2=\dfrac{4}{\pi}$

i.e.

$r=\dfrac{2}{\sqrt{\pi}}$

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