Question

I need help with these two please :’)

Answer 1

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Explanation:

59 )

Given:

Shape is Rectangular Pyramid,

Length = 3 meter

Width = 8 meter

Volume of Rectangular Pyramid = 112 cubic meter

To Find:

Height:

Solution:

We Know,

`\textrm{Volume of Rectangular Pyramid}=(1)/(3)(Length* Width* Height)`

Substituting the given values we have

`112=(1)/(3)(3* 8* Height)\\ \\\therefore Height=(336)/(24)\\\\\therefore Height=14\ meter\\`

Therefore the height of the pyramid is 14 meter.

60 )

Thee shape is of Cone

Given:

Height= 5 cm

Volume of cone = 125 π cm³

To Find:

Diameter of a cone = d = ?

Solution:

We know,

`\textrm{Volume of cone}=(1)/(12)\pi (Diameter) ^(2)* Height`

Substituting the given values we have

`125\pi =(1)/(12)\pi  d^(2)* 5\\ \\d^(2)=25* 12\\  \\d^(2)=300\\\\d=17.32\\   \therefore Diameter = 17.32\ cm`

Therefore the Diameter of Cone is 17.32 cm.