We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

4 years ago

Two boats traveling toward a lighthouse that is 20o ft above sea level at its top. When the 2 boats and the lighthouse are colli

masha68 [24]

Answer:

The measure of x= $11.35^{\circ}$

Step-by-step explanation:

We are given that

Height of tower=200ft

Distance between two boats=250 ft

From given figure

$\frac{perpendicular\;side}{base}=tan\theta$

$\frac{200}{base}=tan15^{\circ}$

$base=\frac{200}{tan15^{\circ}}=746.55 ft$

Again ,

$\frac{200}{746.55+250}=tan x$

$\frac{200}{996.55}=tan x$

$x=tan^{-1}(0.20069)=11.35^{\circ}$

Hence, the measure of x= $11.35^{\circ}$

7 0

4 years ago