Question

I need help with these two please :’)

Answer 1

Answer:

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Step-by-step 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,

$\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)$

Substituting the given values we have

$112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter$

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,

$\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height$

Substituting the given values we have

$125\pi =\frac{1}{12}\pi d^{2}\times 5\\ \\d^{2}=25\times 12\\ \\d^{2}=300\\\\d=17.32\\ \therefore Diameter = 17.32\ cm$

Therefore the Diameter of Cone is 17.32 cm.