Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
  • Geometry
  • Quadrilaterals
  • Cone

Cone

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
–
4
5
6
+
1
2
3
=
0
.
auto next question
evaluate answers
calculator
  • Question 1:
    1 pts
    		The net of a cone consists of the following two parts: a circle that gives the base and a sector that gives the curved surface.
  • Question 2:
    1 pts
    		We can see on this picture the cone and its net.
  • Question 3:
    1 pts
    		Find the volume of the cone shown on the picture?
    $V=27\pi cm^{3}$
    $V=36\pi cm^{3}$
    $V=63\pi cm^{3}$
  • Question 4:
    1 pts
    		Find the surface area of the cone shown on the picture.
    Area $=$
  • Question 5:
    2 pts
    		Find the volume of the cone shown on the picture?
    $V=1204\pi cm^{3}$
    $V=1024\pi cm^{3}$
    $V=968\pi cm^{3}$
    $V=1032\pi cm^{3}$
  • Question 6:
    2 pts
    		What is formula of finding volume of frustum of a cone?
    $V=\dfrac{\pi H}{3}\left(R^{2}+Rr+r^{2}\right)$
    $V=\dfrac{\pi}{3}\left(R^{2}+Rr+r^{2}\right)$
    $V=\dfrac{\pi H}{3}\left(R^{2}+\sqrt{Rr}+r^{2}\right)$
    $V=\dfrac{\pi H}{3}\left(R^{2}+R^{2}r^{2}+r^{2}\right)$
  • Question 7:
    1 pts
    		The lateral surface area of a cone base with radius $r$ and height $H$ is $$\pi r \sqrt{r^{2}+H^{2}}.$$
  • Question 8:
    3 pts
    		The total surface area of a cone is $24\pi cm ^{2}$, and the area of its base is $9\pi cm ^{3}.$ Find the volume of that cone.

    $V=24\pi cm^{3}$

    $V=36\pi cm^{3}$

    $V=12\pi cm^{3}$

    $V=72\pi cm^{3}$

  • Question 9:
    3 pts
    		The volume of the frustum is $584\pi cm^{3}$, and the radii of its circular ends are $10 cm$ and $7 cm.$ Find the height of that frustum.

    $8cm$

    $10cm$

    $12cm$

    $16cm$

  • Question 10:
    3 pts
    		A right circular cone is the cone in which the altitude or height is exactly perpendicular to the Radius or the circle. Whereas a cone is a 3D figure with one surface curved and a base surface as a circle. A cone may be right circular or may not.
  • Question 11:
    3 pts
    		Find the ratio of volumes of right circular cone and square pyramid shown on the picture?
    V_{c}:V_{p}=$
  • Question 12:
    3 pts
    		Find the volume of the solid shown on the picture.
    $V=210\pi cm^{3}$
    $V=180\pi cm^{3}$
    $V=150\pi cm^{3}$

Prism

Pyramid

Rotating solids