1 Answer

Ggguser · Answer 1 · 2020-06-28T05:34:12+0000

QUESTION 1

The volume of a cone is calculated using the formula,

$V= (1)/(3) \pi \: {r}^(2) h$

The radius is r=5m.

Let, the height of the right triangle be h,

Then, Pythagoras Theorem says that, the sum of the squares of the two shorter legs is equal to the square of the hypotenuse.

${h}^(2) + {5}^(2) = {13}^(2)$

${h}^(2) + 25= 169$

${h}^(2) = 169 - 25$

${h}^(2) = 144$

h = √(144) = 12m

We now substitute, the values to get,

$V= (1)/(3) * \pi * {5}^(2) * 12$

$V= 314.2 {m}^(3)$

Question 2

This is a rectangular prism.

The formula for finding the volume of a rectangular prism is

V=l * b * h

The length is 11cm

The width is 5cm

The height is 6cm.

We substitute into the formula to get,

V=11 * 5 * 6

$V = 330.0 {cm}^(3)$

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