Answer:
9/16 of original cube area
Step-by-step explanation:
surface area = 6 * side²
side length after 0.75 dilated: 3/4 of original side length
surface area after dilated : 6 * (3/4)² / 6 * 1² = 9/16
Answer:
Answer: a5 = 2500
Step-by-step explanation:
For a geometric sequence:
First term = a0
Second term = a1 = a0*r
Third term = a2 = a0*r^2
Fourth term = a3 = a0*r^3
....
nth term = a(n-1) = a0*r^(n-1)
Given: a1 = 4 = a0*r
Also: r = 5
So, a0*5 = 4 => a0 = (4/5)
a5 = a(6-1) = Sixth term = a0*r^5 = (4/5)*5^5 = 2500
Hope this helps
correct me if im wrong☺
Answer:
1. D.
.
2. D.
.
Step-by-step explanation:
1.
, where,
r = Radius of the cone,
h = Height of the cone.
Upon substituting our given values we will get,
![\text{Volume of an oblique cone}=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20an%20oblique%20cone%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
![\text{Volume of an oblique cone}=\frac{1}{3}\pi(8\text{ cm})^2\times 15\text{ cm}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20an%20oblique%20cone%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%288%5Ctext%7B%20cm%7D%29%5E2%5Ctimes%2015%5Ctext%7B%20cm%7D)
![\text{Volume of an oblique cone}=\frac{1}{3}\pi(64\text{ cm}^2)\times 15\text{ cm}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20an%20oblique%20cone%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%2864%5Ctext%7B%20cm%7D%5E2%29%5Ctimes%2015%5Ctext%7B%20cm%7D)
![\text{Volume of an oblique cone}=\pi(64\text{ cm}^2)\times 5\text{ cm}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20an%20oblique%20cone%7D%3D%5Cpi%2864%5Ctext%7B%20cm%7D%5E2%29%5Ctimes%205%5Ctext%7B%20cm%7D)
![\text{Volume of an oblique cone}=320\pi\text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20an%20oblique%20cone%7D%3D320%5Cpi%5Ctext%7B%20cm%7D%5E3)
Therefore, the volume of our given oblique cone is
and option D is the correct choice.
2.
, where,
r = Radius of the cone,
h = Height of the cone.
Upon substituting our given values we will get,
![\text{Volume of right cone}=300\pi \text{ cm}^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20right%20cone%7D%3D300%5Cpi%20%5Ctext%7B%20cm%7D%5E3)
Therefore, the volume of our given right cone is
and option D is the correct choice.